7445630979072 has 1232 divisors, whose sum is σ = 27604504408320. Its totient is φ = 1972541030400.

The previous prime is 7445630979049. The next prime is 7445630979103. The reversal of 7445630979072 is 2709790365447.

7445630979072 is a `hidden beast` number, since 7 + 4 + 456 + 3 + 0 + 97 + 90 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2028227797 + ... + 2028231467.

Almost surely, 2^{7445630979072} is an apocalyptic number.

7445630979072 is a gapful number since it is divisible by the number (72) 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 7445630979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802252204160).

7445630979072 is an abundant number, since it is smaller than the sum of its proper divisors (20158873429248).

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

7445630979072 is a wasteful number, since it uses less digits than its factorization.

7445630979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 7445630979072 in words is "seven trillion, four hundred forty-five billion, six hundred thirty million, nine hundred seventy-nine thousand, seventy-two".