62813911980960 has 1536 divisors, whose sum is σ = 277782607872000. Its totient is φ = 13198427504640.

The previous prime is 62813911980947. The next prime is 62813911980973. The reversal of 62813911980960 is 6908911931826.

62813911980960 is a `hidden beast` number, since 6 + 2 + 81 + 391 + 1 + 9 + 80 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (62813911980947) and next prime (62813911980973).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1083137565 + ... + 1083195555.

It is an arithmetic number, because the mean of its divisors is an integer number (180848052000).

Almost surely, 2^{62813911980960} is an apocalyptic number.

62813911980960 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 62813911980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138891303936000).

62813911980960 is an abundant number, since it is smaller than the sum of its proper divisors (214968695891040).

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

62813911980960 is a wasteful number, since it uses less digits than its factorization.

62813911980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58096 (or 58068 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 62813911980960 in words is "sixty-two trillion, eight hundred thirteen billion, nine hundred eleven million, nine hundred eighty thousand, nine hundred sixty".