10677022949376 has 408 divisors, whose sum is σ = 35436145846400. Its totient is φ = 3034545389568.

The previous prime is 10677022949317. The next prime is 10677022949389. The reversal of 10677022949376 is 67394922077601.

10677022949376 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 70 + 2 + 2 + 9 + 493 + 76 = 666.

It is a super-2 number, since 2×10677022949376² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796845525 + ... + 796858923.

Almost surely, 2^{10677022949376} is an apocalyptic number.

10677022949376 is a gapful number since it is divisible by the number (16) 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 10677022949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718072923200).

10677022949376 is an abundant number, since it is smaller than the sum of its proper divisors (24759122897024).

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

10677022949376 is an equidigital number, since it uses as much as digits as its factorization.

10677022949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13637 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 10677022949376 in words is "ten trillion, six hundred seventy-seven billion, twenty-two million, nine hundred forty-nine thousand, three hundred seventy-six".