46925576640 has 224 divisors, whose sum is σ = 169394184960. Its totient is φ = 12222379008.

The previous prime is 46925576627. The next prime is 46925576707. The reversal of 46925576640 is 4667552964.

46925576640 is a `hidden beast` number, since 4 + 6 + 9 + 2 + 5 + 576 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308367 + ... + 434673.

It is an arithmetic number, because the mean of its divisors is an integer number (756224040).

Almost surely, 2^46925576640 is an apocalyptic number.

46925576640 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 46925576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84697092480).

46925576640 is an abundant number, since it is smaller than the sum of its proper divisors (122468608320).

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

46925576640 is a wasteful number, since it uses less digits than its factorization.

46925576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126376 (or 126360 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 46925576640 in words is "forty-six billion, nine hundred twenty-five million, five hundred seventy-six thousand, six hundred forty".