4614704640 has 960 divisors, whose sum is σ = 20590682112. Its totient is φ = 928972800.

The previous prime is 4614704623. The next prime is 4614704641. The reversal of 4614704640 is 464074164.

4614704640 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 7 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 4614704595 and 4614704604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4614704641) 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, 64995805 + ... + 64995875.

Almost surely, 2^4614704640 is an apocalyptic number.

4614704640 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 4614704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295341056).

4614704640 is an abundant number, since it is smaller than the sum of its proper divisors (15975977472).

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

4614704640 is a wasteful number, since it uses less digits than its factorization.

4614704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

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

The square root of 4614704640 is about 67931.6173810104. The cubic root of 4614704640 is about 1664.8737398508.

The spelling of 4614704640 in words is "four billion, six hundred fourteen million, seven hundred four thousand, six hundred forty".