768768509952 has 1152 divisors, whose sum is σ = 2670118214400. Its totient is φ = 217220382720.

The previous prime is 768768509879. The next prime is 768768509981. The reversal of 768768509952 is 259905867867.

768768509952 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 68 + 509 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20777527278 + ... + 20777527314.

It is an arithmetic number, because the mean of its divisors is an integer number (2317810950).

Almost surely, 2^768768509952 is an apocalyptic number.

768768509952 is a gapful number since it is divisible by the number (72) 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 768768509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335059107200).

768768509952 is an abundant number, since it is smaller than the sum of its proper divisors (1901349704448).

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

768768509952 is a wasteful number, since it uses less digits than its factorization.

768768509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 768768509952 in words is "seven hundred sixty-eight billion, seven hundred sixty-eight million, five hundred nine thousand, nine hundred fifty-two".