46761577920 has 336 divisors, whose sum is σ = 171002126880. Its totient is φ = 11695104000.

The previous prime is 46761577913. The next prime is 46761577937. The reversal of 46761577920 is 2977516764.

46761577920 is a `hidden beast` number, since 4 + 6 + 7 + 61 + 577 + 9 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its 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, 5522490 + ... + 5530950.

Almost surely, 2^46761577920 is an apocalyptic number.

46761577920 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 46761577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85501063440).

46761577920 is an abundant number, since it is smaller than the sum of its proper divisors (124240548960).

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

46761577920 is a wasteful number, since it uses less digits than its factorization.

46761577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 46761577920 in words is "forty-six billion, seven hundred sixty-one million, five hundred seventy-seven thousand, nine hundred twenty".