22724002718976 has 576 divisors, whose sum is σ = 70589307801600. Its totient is φ = 6428759851008.

The previous prime is 22724002718971. The next prime is 22724002718993. The reversal of 22724002718976 is 67981720042722.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22724002718971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2940853225 + ... + 2940860951.

It is an arithmetic number, because the mean of its divisors is an integer number (122550881600).

Almost surely, 2^{22724002718976} is an apocalyptic number.

22724002718976 is a gapful number since it is divisible by the number (26) 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 22724002718976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35294653900800).

22724002718976 is an abundant number, since it is smaller than the sum of its proper divisors (47865305082624).

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

22724002718976 is a wasteful number, since it uses less digits than its factorization.

22724002718976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 22724002718976 in words is "twenty-two trillion, seven hundred twenty-four billion, two million, seven hundred eighteen thousand, nine hundred seventy-six".