46064092800 has 384 divisors, whose sum is σ = 166035355200. Its totient is φ = 11132108800.

The previous prime is 46064092793. The next prime is 46064092801. The reversal of 46064092800 is 829046064.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (46064092801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53749972 + ... + 53750828.

Almost surely, 2^46064092800 is an apocalyptic number.

46064092800 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 46064092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83017677600).

46064092800 is an abundant number, since it is smaller than the sum of its proper divisors (119971262400).

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

46064092800 is a wasteful number, since it uses less digits than its factorization.

46064092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 46064092800 in words is "forty-six billion, sixty-four million, ninety-two thousand, eight hundred".