7005615561072 has 60 divisors (see below), whose sum is σ = 19615470455880. Its totient is φ = 2334076424064.

The previous prime is 7005615561019. The next prime is 7005615561097. The reversal of 7005615561072 is 2701655165007.

7005615561072 is a `hidden beast` number, since 7 + 0 + 0 + 5 + 6 + 15 + 561 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11458978 + ... + 12054849.

It is an arithmetic number, because the mean of its divisors is an integer number (326924507598).

Almost surely, 2^{7005615561072} is an apocalyptic number.

7005615561072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7005615561072 is an abundant number, since it is smaller than the sum of its proper divisors (12609854894808).

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

7005615561072 is a wasteful number, since it uses less digits than its factorization.

7005615561072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23515910 (or 23515901 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 7005615561072 in words is "seven trillion, five billion, six hundred fifteen million, five hundred sixty-one thousand, seventy-two".