6620557615200 has 2880 divisors, whose sum is σ = 28241407434240. Its totient is φ = 1498486210560.

The previous prime is 6620557615159. The next prime is 6620557615241. The reversal of 6620557615200 is 25167550266.

6620557615200 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 5 + 5 + 7 + 615 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6620557615159) and next prime (6620557615241).

It is a super-2 number, since 2×6620557615200² (a number of 26 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 an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 64277258349 + ... + 64277258451.

It is an arithmetic number, because the mean of its divisors is an integer number (9806044248).

Almost surely, 2^{6620557615200} is an apocalyptic number.

6620557615200 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 6620557615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120703717120).

6620557615200 is an abundant number, since it is smaller than the sum of its proper divisors (21620849819040).

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

6620557615200 is a wasteful number, since it uses less digits than its factorization.

6620557615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 6620557615200 in words is "six trillion, six hundred twenty billion, five hundred fifty-seven million, six hundred fifteen thousand, two hundred".