6610657536000 has 4608 divisors, whose sum is σ = 32145013555200. Its totient is φ = 1318610534400.

The previous prime is 6610657535969. The next prime is 6610657536023. The reversal of 6610657536000 is 6357560166.

6610657536000 is a `hidden beast` number, since 6 + 6 + 10 + 6 + 575 + 3 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 140652287977 + ... + 140652288023.

It is an arithmetic number, because the mean of its divisors is an integer number (6975914400).

Almost surely, 2^{6610657536000} is an apocalyptic number.

6610657536000 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 6610657536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16072506777600).

6610657536000 is an abundant number, since it is smaller than the sum of its proper divisors (25534356019200).

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

6610657536000 is a wasteful number, since it uses less digits than its factorization.

6610657536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 6610657536000 in words is "six trillion, six hundred ten billion, six hundred fifty-seven million, five hundred thirty-six thousand".