7536464149680 has 240 divisors, whose sum is σ = 26289003896064. Its totient is φ = 2006535525120.

The previous prime is 7536464149651. The next prime is 7536464149691. The reversal of 7536464149680 is 869414646357.

7536464149680 is a `hidden beast` number, since 7 + 5 + 3 + 6 + 4 + 64 + 1 + 496 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11959447 + ... + 12573833.

Almost surely, 2^{7536464149680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7536464149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144501948032).

7536464149680 is an abundant number, since it is smaller than the sum of its proper divisors (18752539746384).

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

7536464149680 is a wasteful number, since it uses less digits than its factorization.

7536464149680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615046 (or 615028 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 7536464149680 in words is "seven trillion, five hundred thirty-six billion, four hundred sixty-four million, one hundred forty-nine thousand, six hundred eighty".