46378706630400 has 1296 divisors, whose sum is σ = 175028197478400. Its totient is φ = 12016704430080.

The previous prime is 46378706630383. The next prime is 46378706630411. The reversal of 46378706630400 is 403660787364.

It is a happy number.

46378706630400 is a `hidden beast` number, since 46 + 3 + 78 + 70 + 6 + 63 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121093228609 + ... + 121093228991.

Almost surely, 2^{46378706630400} is an apocalyptic number.

46378706630400 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 46378706630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87514098739200).

46378706630400 is an abundant number, since it is smaller than the sum of its proper divisors (128649490848000).

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

46378706630400 is a wasteful number, since it uses less digits than its factorization.

46378706630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 46378706630400 in words is "forty-six trillion, three hundred seventy-eight billion, seven hundred six million, six hundred thirty thousand, four hundred".