768012066360 has 864 divisors, whose sum is σ = 3203760924000. Its totient is φ = 158975308800.

The previous prime is 768012066317. The next prime is 768012066407. The reversal of 768012066360 is 63660210867.

768012066360 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 1 + 2 + 0 + 6 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 744919045 + ... + 744920075.

It is an arithmetic number, because the mean of its divisors is an integer number (3708056625).

Almost surely, 2^768012066360 is an apocalyptic number.

768012066360 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 768012066360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601880462000).

768012066360 is an abundant number, since it is smaller than the sum of its proper divisors (2435748857640).

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

768012066360 is a wasteful number, since it uses less digits than its factorization.

768012066360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 768012066360 in words is "seven hundred sixty-eight billion, twelve million, sixty-six thousand, three hundred sixty".