4617604992 has 512 divisors, whose sum is σ = 16927626240. Its totient is φ = 1076428800.

The previous prime is 4617604973. The next prime is 4617605021. The reversal of 4617604992 is 2994067164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15759598 + ... + 15759890.

It is an arithmetic number, because the mean of its divisors is an integer number (33061770).

Almost surely, 2^4617604992 is an apocalyptic number.

4617604992 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 4617604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463813120).

4617604992 is an abundant number, since it is smaller than the sum of its proper divisors (12310021248).

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

4617604992 is a wasteful number, since it uses less digits than its factorization.

4617604992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 4617604992 is about 67952.9616131630. The cubic root of 4617604992 is about 1665.2224590712. Note that the first 3 decimals are identical.

The spelling of 4617604992 in words is "four billion, six hundred seventeen million, six hundred four thousand, nine hundred ninety-two".