4614204672 has 432 divisors, whose sum is σ = 17142128640. Its totient is φ = 1158451200.

The previous prime is 4614204653. The next prime is 4614204773. The reversal of 4614204672 is 2764024164.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499229 + ... + 5500067.

Almost surely, 2^4614204672 is an apocalyptic number.

4614204672 is a gapful number since it is divisible by the number (42) 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 4614204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571064320).

4614204672 is an abundant number, since it is smaller than the sum of its proper divisors (12527923968).

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

4614204672 is a wasteful number, since it uses less digits than its factorization.

4614204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4614204672 is about 67927.9373453957. The cubic root of 4614204672 is about 1664.8136122282.

The spelling of 4614204672 in words is "four billion, six hundred fourteen million, two hundred four thousand, six hundred seventy-two".