4651130880 has 672 divisors, whose sum is σ = 18646737408. Its totient is φ = 1061683200.

The previous prime is 4651130879. The next prime is 4651130921. The reversal of 4651130880 is 880311564.

4651130880 is a `hidden beast` number, since 465 + 113 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125706222 + ... + 125706258.

Almost surely, 2^4651130880 is an apocalyptic number.

4651130880 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 4651130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9323368704).

4651130880 is an abundant number, since it is smaller than the sum of its proper divisors (13995606528).

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

4651130880 is a wasteful number, since it uses less digits than its factorization.

4651130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4651130880 is about 68199.1999953079. The cubic root of 4651130880 is about 1669.2428326807.

It can be divided in two parts, 4651 and 130880, that added together give a palindrome (135531).

The spelling of 4651130880 in words is "four billion, six hundred fifty-one million, one hundred thirty thousand, eight hundred eighty".