46407628800 has 864 divisors, whose sum is σ = 183353264640. Its totient is φ = 11147673600.

The previous prime is 46407628733. The next prime is 46407628847. The reversal of 46407628800 is 882670464.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365414337 + ... + 365414463.

Almost surely, 2^46407628800 is an apocalyptic number.

46407628800 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 46407628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91676632320).

46407628800 is an abundant number, since it is smaller than the sum of its proper divisors (136945635840).

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

46407628800 is a wasteful number, since it uses less digits than its factorization.

46407628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 46407628800 in words is "forty-six billion, four hundred seven million, six hundred twenty-eight thousand, eight hundred".