4615047360 has 672 divisors, whose sum is σ = 20681533440. Its totient is φ = 958003200.

The previous prime is 4615047347. The next prime is 4615047361. The reversal of 4615047360 is 637405164.

It is a happy number.

4615047360 is a `hidden beast` number, since 4 + 615 + 0 + 4 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (4615047361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656465 + ... + 4657455.

Almost surely, 2^4615047360 is an apocalyptic number.

4615047360 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 4615047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340766720).

4615047360 is an abundant number, since it is smaller than the sum of its proper divisors (16066486080).

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

4615047360 is a wasteful number, since it uses less digits than its factorization.

4615047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4615047360 is about 67934.1398709073. The cubic root of 4615047360 is about 1664.9149538575.

It can be divided in two parts, 461504 and 7360, that added together give a palindrome (468864).

The spelling of 4615047360 in words is "four billion, six hundred fifteen million, forty-seven thousand, three hundred sixty".