152768678400 has 960 divisors, whose sum is σ = 620864428800. Its totient is φ = 36548444160.

The previous prime is 152768678393. The next prime is 152768678449. The reversal of 152768678400 is 4876867251.

152768678400 is a `hidden beast` number, since 1 + 527 + 6 + 8 + 6 + 78 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166233141 + ... + 166234059.

It is an arithmetic number, because the mean of its divisors is an integer number (646733780).

Almost surely, 2^152768678400 is an apocalyptic number.

152768678400 is a gapful number since it is divisible by the number (10) 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 152768678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310432214400).

152768678400 is an abundant number, since it is smaller than the sum of its proper divisors (468095750400).

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

152768678400 is a wasteful number, since it uses less digits than its factorization.

152768678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 152768678400 in words is "one hundred fifty-two billion, seven hundred sixty-eight million, six hundred seventy-eight thousand, four hundred".