46920792522240 has 1920 divisors, whose sum is σ = 205031717130240. Its totient is φ = 9653864103936.

The previous prime is 46920792522203. The next prime is 46920792522341. The reversal of 46920792522240 is 4222529702964.

46920792522240 is a `hidden beast` number, since 4 + 6 + 9 + 2 + 0 + 7 + 92 + 522 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13747666774 + ... + 13747670186.

It is an arithmetic number, because the mean of its divisors is an integer number (106787352672).

Almost surely, 2^{46920792522240} is an apocalyptic number.

46920792522240 is a gapful number since it is divisible by the number (40) 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 46920792522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102515858565120).

46920792522240 is an abundant number, since it is smaller than the sum of its proper divisors (158110924608000).

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

46920792522240 is a wasteful number, since it uses less digits than its factorization.

46920792522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 46920792522240 in words is "forty-six trillion, nine hundred twenty billion, seven hundred ninety-two million, five hundred twenty-two thousand, two hundred forty".