77059952640 has 1040 divisors, whose sum is σ = 311700445056. Its totient is φ = 18048614400.

The previous prime is 77059952633. The next prime is 77059952701. The reversal of 77059952640 is 4625995077.

77059952640 is a `hidden beast` number, since 7 + 7 + 0 + 599 + 5 + 2 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 748154829 + ... + 748154931.

Almost surely, 2^77059952640 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 77059952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155850222528).

77059952640 is an abundant number, since it is smaller than the sum of its proper divisors (234640492416).

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

77059952640 is a wasteful number, since it uses less digits than its factorization.

77059952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 77059952640 in words is "seventy-seven billion, fifty-nine million, nine hundred fifty-two thousand, six hundred forty".