22993033976640 has 3360 divisors, whose sum is σ = 105808622739456. Its totient is φ = 4547414753280.

The previous prime is 22993033976587. The next prime is 22993033976659. The reversal of 22993033976640 is 4667933039922.

22993033976640 is a `hidden beast` number, since 2 + 299 + 3 + 0 + 339 + 7 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×22993033976640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 103107775569 + ... + 103107775791.

Almost surely, 2^{22993033976640} is an apocalyptic number.

22993033976640 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 22993033976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52904311369728).

22993033976640 is an abundant number, since it is smaller than the sum of its proper divisors (82815588762816).

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

22993033976640 is a wasteful number, since it uses less digits than its factorization.

22993033976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 22993033976640 in words is "twenty-two trillion, nine hundred ninety-three billion, thirty-three million, nine hundred seventy-six thousand, six hundred forty".