10647387976680 has 2560 divisors, whose sum is σ = 46896598425600. Its totient is φ = 2119451443200.

The previous prime is 10647387976543. The next prime is 10647387976691. The reversal of 10647387976680 is 8667978374601.

It is a happy number.

10647387976680 is a `hidden beast` number, since 1 + 0 + 6 + 473 + 8 + 7 + 9 + 76 + 6 + 80 = 666.

It is a super-2 number, since 2×10647387976680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10647387976599 and 10647387976608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 94224672304 + ... + 94224672416.

It is an arithmetic number, because the mean of its divisors is an integer number (18318983760).

Almost surely, 2^{10647387976680} is an apocalyptic number.

10647387976680 is a gapful number since it is divisible by the number (10) 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 10647387976680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23448299212800).

10647387976680 is an abundant number, since it is smaller than the sum of its proper divisors (36249210448920).

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

10647387976680 is a wasteful number, since it uses less digits than its factorization.

10647387976680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 10647387976680 in words is "ten trillion, six hundred forty-seven billion, three hundred eighty-seven million, nine hundred seventy-six thousand, six hundred eighty".