10626376320 has 768 divisors, whose sum is σ = 45711993600. Its totient is φ = 2218917888.

The previous prime is 10626376289. The next prime is 10626376381. The reversal of 10626376320 is 2367362601.

10626376320 is a `hidden beast` number, since 1 + 0 + 6 + 263 + 76 + 320 = 666.

It is a super-2 number, since 2×10626376320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25361071 + ... + 25361489.

It is an arithmetic number, because the mean of its divisors is an integer number (59520825).

Almost surely, 2^10626376320 is an apocalyptic number.

10626376320 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 10626376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

10626376320 is an abundant number, since it is smaller than the sum of its proper divisors (35085617280).

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

10626376320 is a wasteful number, since it uses less digits than its factorization.

10626376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10626376320 in words is "ten billion, six hundred twenty-six million, three hundred seventy-six thousand, three hundred twenty".