46760232960 has 768 divisors, whose sum is σ = 195396364800. Its totient is φ = 10383261696.

The previous prime is 46760232917. The next prime is 46760233063. The reversal of 46760232960 is 6923206764.

46760232960 is a `hidden beast` number, since 4 + 6 + 7 + 602 + 32 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71607994 + ... + 71608646.

It is an arithmetic number, because the mean of its divisors is an integer number (254422350).

Almost surely, 2^46760232960 is an apocalyptic number.

46760232960 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 46760232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97698182400).

46760232960 is an abundant number, since it is smaller than the sum of its proper divisors (148636131840).

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

46760232960 is a wasteful number, since it uses less digits than its factorization.

46760232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 46760232960 in words is "forty-six billion, seven hundred sixty million, two hundred thirty-two thousand, nine hundred sixty".