46777630400 has 168 divisors, whose sum is σ = 119209651344. Its totient is φ = 18055065600.

The previous prime is 46777630399. The next prime is 46777630421. The reversal of 46777630400 is 403677764.

46777630400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5168279 + ... + 5177321.

It is an arithmetic number, because the mean of its divisors is an integer number (709581258).

Almost surely, 2^46777630400 is an apocalyptic number.

46777630400 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 46777630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59604825672).

46777630400 is an abundant number, since it is smaller than the sum of its proper divisors (72432020944).

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

46777630400 is a wasteful number, since it uses less digits than its factorization.

46777630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 44.

The spelling of 46777630400 in words is "forty-six billion, seven hundred seventy-seven million, six hundred thirty thousand, four hundred".