46375979760 has 800 divisors, whose sum is σ = 187149093120. Its totient is φ = 10613306880.

The previous prime is 46375979759. The next prime is 46375979791. The reversal of 46375979760 is 6797957364.

46375979760 is a `hidden beast` number, since 4 + 6 + 37 + 597 + 9 + 7 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 163872579 + ... + 163872861.

Almost surely, 2^46375979760 is an apocalyptic number.

46375979760 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 46375979760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93574546560).

46375979760 is an abundant number, since it is smaller than the sum of its proper divisors (140773113360).

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

46375979760 is a wasteful number, since it uses less digits than its factorization.

46375979760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 46375979760 in words is "forty-six billion, three hundred seventy-five million, nine hundred seventy-nine thousand, seven hundred sixty".