7245641600640 has 640 divisors, whose sum is σ = 27510199516800. Its totient is φ = 1813276827648.

The previous prime is 7245641600627. The next prime is 7245641600671. The reversal of 7245641600640 is 460061465427.

7245641600640 is a `hidden beast` number, since 7 + 24 + 564 + 1 + 6 + 0 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 63135631 + ... + 63250289.

It is an arithmetic number, because the mean of its divisors is an integer number (42984686745).

Almost surely, 2^{7245641600640} 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 7245641600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755099758400).

7245641600640 is an abundant number, since it is smaller than the sum of its proper divisors (20264557916160).

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

7245641600640 is a wasteful number, since it uses less digits than its factorization.

7245641600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114766 (or 114745 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 7245641600640 in words is "seven trillion, two hundred forty-five billion, six hundred forty-one million, six hundred thousand, six hundred forty".