7661136295680 has 864 divisors, whose sum is σ = 28788340137984. Its totient is φ = 1731177971712.

The previous prime is 7661136295667. The next prime is 7661136295693. The reversal of 7661136295680 is 865926311667.

It is an interprime number because it is at equal distance from previous prime (7661136295667) and next prime (7661136295693).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12497775054 + ... + 12497775666.

Almost surely, 2^{7661136295680} is an apocalyptic number.

7661136295680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7661136295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394170068992).

7661136295680 is an abundant number, since it is smaller than the sum of its proper divisors (21127203842304).

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

7661136295680 is a wasteful number, since it uses less digits than its factorization.

7661136295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 7661136295680 in words is "seven trillion, six hundred sixty-one billion, one hundred thirty-six million, two hundred ninety-five thousand, six hundred eighty".