7606677980160 has 1408 divisors, whose sum is σ = 32938555392000. Its totient is φ = 1625999671296.

The previous prime is 7606677980117. The next prime is 7606677980177. The reversal of 7606677980160 is 610897766067.

7606677980160 is a `hidden beast` number, since 7 + 606 + 6 + 7 + 7 + 9 + 8 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 1452485062 + ... + 1452490298.

Almost surely, 2^{7606677980160} is an apocalyptic number.

7606677980160 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 7606677980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469277696000).

7606677980160 is an abundant number, since it is smaller than the sum of its proper divisors (25331877411840).

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

7606677980160 is a wasteful number, since it uses less digits than its factorization.

7606677980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 7606677980160 in words is "seven trillion, six hundred six billion, six hundred seventy-seven million, nine hundred eighty thousand, one hundred sixty".