3070125563904 has 672 divisors, whose sum is σ = 10654538568960. Its totient is φ = 833400078336.

The previous prime is 3070125563899. The next prime is 3070125563929. The reversal of 3070125563904 is 4093655210703.

3070125563904 is a `hidden beast` number, since 3 + 0 + 7 + 0 + 1 + 2 + 5 + 5 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 3070125563904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821106867 + ... + 821110605.

Almost surely, 2^{3070125563904} 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 3070125563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327269284480).

3070125563904 is an abundant number, since it is smaller than the sum of its proper divisors (7584413005056).

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

3070125563904 is a wasteful number, since it uses less digits than its factorization.

3070125563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 3070125563904 in words is "three trillion, seventy billion, one hundred twenty-five million, five hundred sixty-three thousand, nine hundred four".