78730056800640 has 384 divisors, whose sum is σ = 312760202526720. Its totient is φ = 17876265062400.

The previous prime is 78730056800503. The next prime is 78730056800653. The reversal of 78730056800640 is 4600865003787.

78730056800640 is a `hidden beast` number, since 7 + 8 + 7 + 30 + 0 + 568 + 0 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×78730056800640³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377344 + ... + 12553983.

It is an arithmetic number, because the mean of its divisors is an integer number (814479694080).

Almost surely, 2^{78730056800640} is an apocalyptic number.

78730056800640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78730056800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156380101263360).

78730056800640 is an abundant number, since it is smaller than the sum of its proper divisors (234030145726080).

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

78730056800640 is a wasteful number, since it uses less digits than its factorization.

78730056800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12931510 (or 12931495 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 78730056800640 in words is "seventy-eight trillion, seven hundred thirty billion, fifty-six million, eight hundred thousand, six hundred forty".