46809442680 has 512 divisors, whose sum is σ = 196756439040. Its totient is φ = 8587560960.

The previous prime is 46809442633. The next prime is 46809442697. The reversal of 46809442680 is 8624490864.

It is a super-2 number, since 2×46809442680² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2754289 + ... + 2771231.

It is an arithmetic number, because the mean of its divisors is an integer number (384289920).

Almost surely, 2^46809442680 is an apocalyptic number.

46809442680 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 46809442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98378219520).

46809442680 is an abundant number, since it is smaller than the sum of its proper divisors (149946996360).

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

46809442680 is a wasteful number, since it uses less digits than its factorization.

46809442680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17011 (or 17007 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 46809442680 in words is "forty-six billion, eight hundred nine million, four hundred forty-two thousand, six hundred eighty".