77296112640 has 528 divisors, whose sum is σ = 277144410816. Its totient is φ = 19906560000.

The previous prime is 77296112633. The next prime is 77296112651. The reversal of 77296112640 is 4621169277.

77296112640 is a `hidden beast` number, since 7 + 7 + 2 + 9 + 611 + 26 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307952515 + ... + 307952765.

Almost surely, 2^77296112640 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 77296112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138572205408).

77296112640 is an abundant number, since it is smaller than the sum of its proper divisors (199848298176).

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

77296112640 is a wasteful number, since it uses less digits than its factorization.

77296112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 77296112640 in words is "seventy-seven billion, two hundred ninety-six million, one hundred twelve thousand, six hundred forty".