46587790080 has 864 divisors, whose sum is σ = 190438335360. Its totient is φ = 10404495360.

The previous prime is 46587790079. The next prime is 46587790103. The reversal of 46587790080 is 8009778564.

It is a junction number, because it is equal to n+sod(n) for n = 46587789999 and 46587790026.

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, 73831365 + ... + 73831995.

It is an arithmetic number, because the mean of its divisors is an integer number (220414740).

Almost surely, 2^46587790080 is an apocalyptic number.

46587790080 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 46587790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95219167680).

46587790080 is an abundant number, since it is smaller than the sum of its proper divisors (143850545280).

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

46587790080 is a wasteful number, since it uses less digits than its factorization.

46587790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 46587790080 in words is "forty-six billion, five hundred eighty-seven million, seven hundred ninety thousand, eighty".