6433993873944 has 192 divisors, whose sum is σ = 21667747832640. Its totient is φ = 1679383756800.

The previous prime is 6433993873927. The next prime is 6433993873961. The reversal of 6433993873944 is 4493783993346.

6433993873944 is a `hidden beast` number, since 6 + 43 + 39 + 93 + 87 + 394 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6433993873927) and next prime (6433993873961).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 4426257 + ... + 5697344.

It is an arithmetic number, because the mean of its divisors is an integer number (112852853295).

Almost surely, 2^{6433993873944} is an apocalyptic number.

It is an amenable number.

6433993873944 is an abundant number, since it is smaller than the sum of its proper divisors (15233753958696).

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

6433993873944 is a wasteful number, since it uses less digits than its factorization.

6433993873944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10123730 (or 10123723 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 72.

The spelling of 6433993873944 in words is "six trillion, four hundred thirty-three billion, nine hundred ninety-three million, eight hundred seventy-three thousand, nine hundred forty-four".