4579626240 has 864 divisors, whose sum is σ = 19769568000. Its totient is φ = 975421440.

The previous prime is 4579626211. The next prime is 4579626251. The reversal of 4579626240 is 426269754.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75075810 + ... + 75075870.

Almost surely, 2^4579626240 is an apocalyptic number.

4579626240 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 4579626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884784000).

4579626240 is an abundant number, since it is smaller than the sum of its proper divisors (15189941760).

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

4579626240 is a wasteful number, since it uses less digits than its factorization.

4579626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4579626240 is about 67672.9358015448. The cubic root of 4579626240 is about 1660.6445264152.

The spelling of 4579626240 in words is "four billion, five hundred seventy-nine million, six hundred twenty-six thousand, two hundred forty".