3007401074560 has 128 divisors (see below), whose sum is σ = 7310103596640. Its totient is φ = 1182806876160.

The previous prime is 3007401074473. The next prime is 3007401074567. The reversal of 3007401074560 is 654701047003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3007401074560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007401074567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119723122 + ... + 119748238.

Almost surely, 2^{3007401074560} 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 3007401074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655051798320).

3007401074560 is an abundant number, since it is smaller than the sum of its proper divisors (4302702522080).

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

3007401074560 is a wasteful number, since it uses less digits than its factorization.

3007401074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28264 (or 28252 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 3007401074560 in words is "three trillion, seven billion, four hundred one million, seventy-four thousand, five hundred sixty".