75336676380 has 288 divisors, whose sum is σ = 266539553280. Its totient is φ = 16867699200.

The previous prime is 75336676343. The next prime is 75336676409. The reversal of 75336676380 is 8367663357.

75336676380 is a `hidden beast` number, since 7 + 533 + 6 + 6 + 76 + 38 + 0 = 666.

It is a super-2 number, since 2×75336676380² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22820730 + ... + 22824030.

It is an arithmetic number, because the mean of its divisors is an integer number (925484560).

Almost surely, 2^75336676380 is an apocalyptic number.

75336676380 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 75336676380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133269776640).

75336676380 is an abundant number, since it is smaller than the sum of its proper divisors (191202876900).

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

75336676380 is a wasteful number, since it uses less digits than its factorization.

75336676380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 75336676380 in words is "seventy-five billion, three hundred thirty-six million, six hundred seventy-six thousand, three hundred eighty".