77648288640 has 256 divisors, whose sum is σ = 269139386880. Its totient is φ = 18927230976.

The previous prime is 77648288639. The next prime is 77648288657. The reversal of 77648288640 is 4688284677.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2555779 + ... + 2585981.

It is an arithmetic number, because the mean of its divisors is an integer number (1051325730).

Almost surely, 2^77648288640 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 77648288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134569693440).

77648288640 is an abundant number, since it is smaller than the sum of its proper divisors (191491098240).

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

77648288640 is a wasteful number, since it uses less digits than its factorization.

77648288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30341 (or 30329 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 77648288640 in words is "seventy-seven billion, six hundred forty-eight million, two hundred eighty-eight thousand, six hundred forty".