7606634933760 has 320 divisors, whose sum is σ = 25638204049920. Its totient is φ = 1918607523840.

The previous prime is 7606634933753. The next prime is 7606634933813. The reversal of 7606634933760 is 673394366067.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7606634933694 and 7606634933703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92034214 + ... + 92116826.

It is an arithmetic number, because the mean of its divisors is an integer number (80119387656).

Almost surely, 2^{7606634933760} 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 7606634933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819102024960).

7606634933760 is an abundant number, since it is smaller than the sum of its proper divisors (18031569116160).

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

7606634933760 is a wasteful number, since it uses less digits than its factorization.

7606634933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83289 (or 83273 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 60.

The spelling of 7606634933760 in words is "seven trillion, six hundred six billion, six hundred thirty-four million, nine hundred thirty-three thousand, seven hundred sixty".