68052076976520 has 1152 divisors, whose sum is σ = 293724095464800. Its totient is φ = 13497206833152.

The previous prime is 68052076976519. The next prime is 68052076976657. The reversal of 68052076976520 is 2567967025086.

It is a happy number.

68052076976520 is a `hidden beast` number, since 6 + 80 + 5 + 20 + 7 + 6 + 9 + 7 + 6 + 520 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 24167626259364 + 43884450717156 = 4916058^2 + 6624534^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3340952896 + ... + 3340973264.

Almost surely, 2^{68052076976520} is an apocalyptic number.

68052076976520 is a gapful number since it is divisible by the number (60) 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 68052076976520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146862047732400).

68052076976520 is an abundant number, since it is smaller than the sum of its proper divisors (225672018488280).

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

68052076976520 is a wasteful number, since it uses less digits than its factorization.

68052076976520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21287 (or 21273 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 68052076976520 in words is "sixty-eight trillion, fifty-two billion, seventy-six million, nine hundred seventy-six thousand, five hundred twenty".