4612645440 has 504 divisors, whose sum is σ = 17847243960. Its totient is φ = 1135420416.

The previous prime is 4612645439. The next prime is 4612645459. The reversal of 4612645440 is 445462164.

4612645440 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 645 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1719926784 + 2892718656 = 41472^2 + 53784^2 .

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 = 4612645395 and 4612645404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 354818874 + ... + 354818886.

Almost surely, 2^4612645440 is an apocalyptic number.

4612645440 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 4612645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8923621980).

4612645440 is an abundant number, since it is smaller than the sum of its proper divisors (13234598520).

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

4612645440 is an frugal number, since it uses more digits than its factorization.

4612645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4612645440 is about 67916.4592716670. The cubic root of 4612645440 is about 1664.6260665013.

The spelling of 4612645440 in words is "four billion, six hundred twelve million, six hundred forty-five thousand, four hundred forty".