4614312960 has 352 divisors, whose sum is σ = 16978636800. Its totient is φ = 1187020800.

The previous prime is 4614312947. The next prime is 4614313003. The reversal of 4614312960 is 692134164.

4614312960 is a `hidden beast` number, since 4 + 614 + 31 + 2 + 9 + 6 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008385 + ... + 4009535.

Almost surely, 2^4614312960 is an apocalyptic number.

4614312960 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 4614312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489318400).

4614312960 is an abundant number, since it is smaller than the sum of its proper divisors (12364323840).

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

4614312960 is a wasteful number, since it uses less digits than its factorization.

4614312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4614312960 is about 67928.7344207148. The cubic root of 4614312960 is about 1664.8266356302.

The spelling of 4614312960 in words is "four billion, six hundred fourteen million, three hundred twelve thousand, nine hundred sixty".