620616971520 has 1080 divisors, whose sum is σ = 2782248089544. Its totient is φ = 130929426432.

The previous prime is 620616971503. The next prime is 620616971521. The reversal of 620616971520 is 25179616026.

620616971520 is a `hidden beast` number, since 6 + 2 + 0 + 61 + 69 + 7 + 1 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32192971776 + 588423999744 = 179424^2 + 767088^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×620616971520² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620616971521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66039462 + ... + 66048858.

Almost surely, 2^620616971520 is an apocalyptic number.

620616971520 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 620616971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391124044772).

620616971520 is an abundant number, since it is smaller than the sum of its proper divisors (2161631118024).

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

620616971520 is a wasteful number, since it uses less digits than its factorization.

620616971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 620616971520 in words is "six hundred twenty billion, six hundred sixteen million, nine hundred seventy-one thousand, five hundred twenty".