4607124480 has 792 divisors, whose sum is σ = 19778146752. Its totient is φ = 1007271936.

The previous prime is 4607124463. The next prime is 4607124539. The reversal of 4607124480 is 844217064.

4607124480 is a `hidden beast` number, since 4 + 607 + 1 + 2 + 4 + 48 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 200309749 + ... + 200309771.

Almost surely, 2^4607124480 is an apocalyptic number.

4607124480 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 4607124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889073376).

4607124480 is an abundant number, since it is smaller than the sum of its proper divisors (15171022272).

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

4607124480 is an equidigital number, since it uses as much as digits as its factorization.

4607124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4607124480 is about 67875.8018737164. The cubic root of 4607124480 is about 1663.9616608524.

The spelling of 4607124480 in words is "four billion, six hundred seven million, one hundred twenty-four thousand, four hundred eighty".