78745642132752 has 280 divisors, whose sum is σ = 267804748149120. Its totient is φ = 21950003842560.

The previous prime is 78745642132739. The next prime is 78745642132777. The reversal of 78745642132752 is 25723124654787.

78745642132752 is a `hidden beast` number, since 7 + 8 + 7 + 4 + 564 + 2 + 13 + 2 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 78745642132752.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8414052 + ... + 15109187.

It is an arithmetic number, because the mean of its divisors is an integer number (956445529104).

Almost surely, 2^{78745642132752} is an apocalyptic number.

78745642132752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78745642132752 is an abundant number, since it is smaller than the sum of its proper divisors (189059106016368).

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

78745642132752 is a wasteful number, since it uses less digits than its factorization.

78745642132752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23523313 (or 23523292 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 78745642132752 in words is "seventy-eight trillion, seven hundred forty-five billion, six hundred forty-two million, one hundred thirty-two thousand, seven hundred fifty-two".