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74527386340680 = 23325713368319709
BaseRepresentation
bin10000111100100001000010…
…011000111000110101001000
3100202212202012200202102210100
4100330201002120320311020
534232024041400400210
6422301224133045400
721461266052413410
oct2074410230706510
9322782180672710
1074527386340680
1121823983734299
128437aa6a86860
133277b9669c000
141459205277640
15893965a305c0
hex43c842638d48

74527386340680 has 768 divisors, whose sum is σ = 300327797952000. Its totient is φ = 15700640237568.

The previous prime is 74527386340643. The next prime is 74527386340711. The reversal of 74527386340680 is 8604368372547.

74527386340680 is a `hidden beast` number, since 7 + 4 + 5 + 2 + 73 + 86 + 3 + 406 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3781378666 + ... + 3781398374.

It is an arithmetic number, because the mean of its divisors is an integer number (391051820250).

Almost surely, 274527386340680 is an apocalyptic number.

74527386340680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74527386340680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150163898976000).

74527386340680 is an abundant number, since it is smaller than the sum of its proper divisors (225800411611320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74527386340680 is a wasteful number, since it uses less digits than its factorization.

74527386340680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20455 (or 20422 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 74527386340680 in words is "seventy-four trillion, five hundred twenty-seven billion, three hundred eighty-six million, three hundred forty thousand, six hundred eighty".