4579079040 has 320 divisors, whose sum is σ = 17217090000. Its totient is φ = 1156571136.

The previous prime is 4579079027. The next prime is 4579079053. The reversal of 4579079040 is 409709754.

4579079040 is a `hidden beast` number, since 4 + 579 + 0 + 79 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4579079027) and next prime (4579079053).

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 982636 + ... + 987284.

Almost surely, 2^4579079040 is an apocalyptic number.

4579079040 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 4579079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8608545000).

4579079040 is an abundant number, since it is smaller than the sum of its proper divisors (12638010960).

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

4579079040 is a wasteful number, since it uses less digits than its factorization.

4579079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4579079040 is about 67668.8927055852. The cubic root of 4579079040 is about 1660.5783826710.

The spelling of 4579079040 in words is "four billion, five hundred seventy-nine million, seventy-nine thousand, forty".