46980510720 has 704 divisors, whose sum is σ = 179563233024. Its totient is φ = 10333716480.

The previous prime is 46980510713. The next prime is 46980510779. The reversal of 46980510720 is 2701508964.

It is a tau number, because it is divible by the number of its divisors (704).

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, 160342894 + ... + 160343186.

Almost surely, 2^46980510720 is an apocalyptic number.

46980510720 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 46980510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89781616512).

46980510720 is an abundant number, since it is smaller than the sum of its proper divisors (132582722304).

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

46980510720 is a wasteful number, since it uses less digits than its factorization.

46980510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 46980510720 in words is "forty-six billion, nine hundred eighty million, five hundred ten thousand, seven hundred twenty".