76947490286928 has 600 divisors, whose sum is σ = 235488645190656. Its totient is φ = 24247452902400.

The previous prime is 76947490286917. The next prime is 76947490286951. The reversal of 76947490286928 is 82968209474967.

76947490286928 is a `hidden beast` number, since 7 + 6 + 9 + 47 + 490 + 2 + 8 + 69 + 28 = 666.

It is a super-2 number, since 2×76947490286928² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36450728593 + ... + 36450730703.

Almost surely, 2^{76947490286928} 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 76947490286928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117744322595328).

76947490286928 is an abundant number, since it is smaller than the sum of its proper divisors (158541154903728).

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

76947490286928 is a wasteful number, since it uses less digits than its factorization.

76947490286928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 76947490286928 in words is "seventy-six trillion, nine hundred forty-seven billion, four hundred ninety million, two hundred eighty-six thousand, nine hundred twenty-eight".