10628167680 has 384 divisors, whose sum is σ = 40699713600. Its totient is φ = 2615279616.

The previous prime is 10628167657. The next prime is 10628167691. The reversal of 10628167680 is 8676182601.

It is a happy number.

10628167680 is a `hidden beast` number, since 1 + 0 + 628 + 16 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10628167680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3592762 + ... + 3595718.

Almost surely, 2^10628167680 is an apocalyptic number.

10628167680 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 10628167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349856800).

10628167680 is an abundant number, since it is smaller than the sum of its proper divisors (30071545920).

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

10628167680 is a wasteful number, since it uses less digits than its factorization.

10628167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10628167680 in words is "ten billion, six hundred twenty-eight million, one hundred sixty-seven thousand, six hundred eighty".