77889163472640 has 576 divisors, whose sum is σ = 297704978686080. Its totient is φ = 19169804943360.

The previous prime is 77889163472629. The next prime is 77889163472669. The reversal of 77889163472640 is 4627436198877.

77889163472640 is a `hidden beast` number, since 7 + 7 + 8 + 8 + 9 + 16 + 347 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 5882416420 + ... + 5882429660.

It is an arithmetic number, because the mean of its divisors is an integer number (516848921330).

Almost surely, 2^{77889163472640} 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 77889163472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148852489343040).

77889163472640 is an abundant number, since it is smaller than the sum of its proper divisors (219815815213440).

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

77889163472640 is a wasteful number, since it uses less digits than its factorization.

77889163472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26377 (or 26357 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 77889163472640 in words is "seventy-seven trillion, eight hundred eighty-nine billion, one hundred sixty-three million, four hundred seventy-two thousand, six hundred forty".