46880570880 has 1920 divisors, whose sum is σ = 216202162176. Its totient is φ = 9555148800.

The previous prime is 46880570857. The next prime is 46880570887. The reversal of 46880570880 is 8807508864.

46880570880 is a `hidden beast` number, since 4 + 68 + 8 + 0 + 570 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46880570887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1512276465 + ... + 1512276495.

Almost surely, 2^46880570880 is an apocalyptic number.

46880570880 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 46880570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108101081088).

46880570880 is an abundant number, since it is smaller than the sum of its proper divisors (169321591296).

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

46880570880 is a wasteful number, since it uses less digits than its factorization.

46880570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 46880570880 in words is "forty-six billion, eight hundred eighty million, five hundred seventy thousand, eight hundred eighty".