72946640824335 has 48 divisors (see below), whose sum is σ = 127289842879680. Its totient is φ = 38643691852800.

The previous prime is 72946640824319. The next prime is 72946640824427. The reversal of 72946640824335 is 53342804664927.

It is a happy number.

72946640824335 is a `hidden beast` number, since 7 + 29 + 4 + 66 + 40 + 82 + 433 + 5 = 666.

It is not a de Polignac number, because 72946640824335 - 2⁴ = 72946640824319 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 74646861 + ... + 75617769.

It is an arithmetic number, because the mean of its divisors is an integer number (2651871726660).

Almost surely, 2^{72946640824335} is an apocalyptic number.

72946640824335 is a deficient number, since it is larger than the sum of its proper divisors (54343202055345).

72946640824335 is a wasteful number, since it uses less digits than its factorization.

72946640824335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982128 (or 982125 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 72946640824335 in words is "seventy-two trillion, nine hundred forty-six billion, six hundred forty million, eight hundred twenty-four thousand, three hundred thirty-five".