10422551664 has 320 divisors, whose sum is σ = 36029440000. Its totient is φ = 2880541440.

The previous prime is 10422551647. The next prime is 10422551731. The reversal of 10422551664 is 46615522401.

10422551664 is a `hidden beast` number, since 1 + 0 + 42 + 2 + 551 + 6 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4592322 + ... + 4594590.

It is an arithmetic number, because the mean of its divisors is an integer number (112592000).

Almost surely, 2^10422551664 is an apocalyptic number.

10422551664 is a gapful number since it is divisible by the number (14) 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 10422551664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014720000).

10422551664 is an abundant number, since it is smaller than the sum of its proper divisors (25606888336).

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

10422551664 is a wasteful number, since it uses less digits than its factorization.

10422551664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10422551664 in words is "ten billion, four hundred twenty-two million, five hundred fifty-one thousand, six hundred sixty-four".