22790930912640 has 1920 divisors, whose sum is σ = 94395541743360. Its totient is φ = 5187085516800.

The previous prime is 22790930912623. The next prime is 22790930912657. The reversal of 22790930912640 is 4621903909722.

22790930912640 is a `hidden beast` number, since 2 + 2 + 79 + 0 + 9 + 309 + 1 + 264 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22790930912623) and next prime (22790930912657).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48802849687 + ... + 48802850153.

It is an arithmetic number, because the mean of its divisors is an integer number (49164344658).

Almost surely, 2^{22790930912640} is an apocalyptic number.

22790930912640 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 22790930912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47197770871680).

22790930912640 is an abundant number, since it is smaller than the sum of its proper divisors (71604610830720).

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

22790930912640 is a wasteful number, since it uses less digits than its factorization.

22790930912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 22790930912640 in words is "twenty-two trillion, seven hundred ninety billion, nine hundred thirty million, nine hundred twelve thousand, six hundred forty".