46998085680 has 960 divisors, whose sum is σ = 208194674688. Its totient is φ = 9585008640.

The previous prime is 46998085679. The next prime is 46998085727. The reversal of 46998085680 is 8658089964.

46998085680 is a `hidden beast` number, since 4 + 69 + 9 + 8 + 0 + 8 + 568 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54839812 + ... + 54840668.

Almost surely, 2^46998085680 is an apocalyptic number.

46998085680 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 46998085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104097337344).

46998085680 is an abundant number, since it is smaller than the sum of its proper divisors (161196589008).

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

46998085680 is a wasteful number, since it uses less digits than its factorization.

46998085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 46998085680 in words is "forty-six billion, nine hundred ninety-eight million, eighty-five thousand, six hundred eighty".