7607861413704 has 320 divisors, whose sum is σ = 22720003891200. Its totient is φ = 2371533220224.

The previous prime is 7607861413697. The next prime is 7607861413729. The reversal of 7607861413704 is 4073141687067.

It is a happy number.

7607861413704 is a `hidden beast` number, since 7 + 6 + 0 + 7 + 8 + 614 + 13 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1617659017 + ... + 1617663719.

It is an arithmetic number, because the mean of its divisors is an integer number (71000012160).

Almost surely, 2^{7607861413704} 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 7607861413704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360001945600).

7607861413704 is an abundant number, since it is smaller than the sum of its proper divisors (15112142477496).

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

7607861413704 is a wasteful number, since it uses less digits than its factorization.

7607861413704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 7607861413704 in words is "seven trillion, six hundred seven billion, eight hundred sixty-one million, four hundred thirteen thousand, seven hundred four".