46722446400 has 672 divisors, whose sum is σ = 187031814912. Its totient is φ = 9968025600.

The previous prime is 46722446357. The next prime is 46722446461. The reversal of 46722446400 is 464422764.

It is a happy number.

46722446400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89678140 + ... + 89678660.

Almost surely, 2^46722446400 is an apocalyptic number.

46722446400 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 46722446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93515907456).

46722446400 is an abundant number, since it is smaller than the sum of its proper divisors (140309368512).

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

46722446400 is a wasteful number, since it uses less digits than its factorization.

46722446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 46722446400 in words is "forty-six billion, seven hundred twenty-two million, four hundred forty-six thousand, four hundred".