77611892640 has 384 divisors, whose sum is σ = 268177029120. Its totient is φ = 18811699200.

The previous prime is 77611892629. The next prime is 77611892651. The reversal of 77611892640 is 4629811677.

It is an interprime number because it is at equal distance from previous prime (77611892629) and next prime (77611892651).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15963810 + ... + 15968670.

It is an arithmetic number, because the mean of its divisors is an integer number (698377680).

Almost surely, 2^77611892640 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 77611892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134088514560).

77611892640 is an abundant number, since it is smaller than the sum of its proper divisors (190565136480).

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

77611892640 is a wasteful number, since it uses less digits than its factorization.

77611892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 77611892640 in words is "seventy-seven billion, six hundred eleven million, eight hundred ninety-two thousand, six hundred forty".