74347632857088 has 1664 divisors, whose sum is σ = 246982475980800. Its totient is φ = 22001303420928.

The previous prime is 74347632857087. The next prime is 74347632857093. The reversal of 74347632857088 is 88075823674347.

74347632857088 is a `hidden beast` number, since 7 + 4 + 3 + 47 + 6 + 3 + 2 + 8 + 570 + 8 + 8 = 666.

It is a super-2 number, since 2×74347632857088² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (74347632857087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 456120446895 + ... + 456120447057.

Almost surely, 2^{74347632857088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74347632857088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123491237990400).

74347632857088 is an abundant number, since it is smaller than the sum of its proper divisors (172634843123712).

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

74347632857088 is a wasteful number, since it uses less digits than its factorization.

74347632857088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 74347632857088 in words is "seventy-four trillion, three hundred forty-seven billion, six hundred thirty-two million, eight hundred fifty-seven thousand, eighty-eight".