22130612640 has 288 divisors, whose sum is σ = 80233747776. Its totient is φ = 5757143040.

The previous prime is 22130612629. The next prime is 22130612663. The reversal of 22130612640 is 4621603122.

22130612640 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 6 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×22130612640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1587139 + ... + 1601021.

It is an arithmetic number, because the mean of its divisors is an integer number (278589402).

Almost surely, 2^22130612640 is an apocalyptic number.

22130612640 is a gapful number since it is divisible by the number (20) 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 22130612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40116873888).

22130612640 is an abundant number, since it is smaller than the sum of its proper divisors (58103135136).

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

22130612640 is a wasteful number, since it uses less digits than its factorization.

22130612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 22130612640 in words is "twenty-two billion, one hundred thirty million, six hundred twelve thousand, six hundred forty".