10422618624 has 600 divisors, whose sum is σ = 35823790464. Its totient is φ = 3010867200.

The previous prime is 10422618623. The next prime is 10422618631. The reversal of 10422618624 is 42681622401.

10422618624 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 26 + 1 + 8 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422618623) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 155561439 + ... + 155561505.

Almost surely, 2^10422618624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911895232).

10422618624 is an abundant number, since it is smaller than the sum of its proper divisors (25401171840).

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

10422618624 is an equidigital number, since it uses as much as digits as its factorization.

10422618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10422618624 in words is "ten billion, four hundred twenty-two million, six hundred eighteen thousand, six hundred twenty-four".