22939370000640 has 2304 divisors, whose sum is σ = 91550269440000. Its totient is φ = 5413097963520.

The previous prime is 22939370000621. The next prime is 22939370000669. The reversal of 22939370000640 is 4600007393922.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 153955503286 + ... + 153955503434.

It is an arithmetic number, because the mean of its divisors is an integer number (39735360000).

Almost surely, 2^{22939370000640} is an apocalyptic number.

22939370000640 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 22939370000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45775134720000).

22939370000640 is an abundant number, since it is smaller than the sum of its proper divisors (68610899439360).

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

22939370000640 is a wasteful number, since it uses less digits than its factorization.

22939370000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 22939370000640 in words is "twenty-two trillion, nine hundred thirty-nine billion, three hundred seventy million, six hundred forty", and thus it is an aban number.