4569760000 has 225 divisors, whose sum is σ = 12348274631. Its totient is φ = 1687296000.

The previous prime is 4569759989. The next prime is 4569760031. The reversal of 4569760000 is 679654.

The square root of 4569760000 is 67600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 12 ways, for example, as 1072693504 + 3497066496 = 32752^2 + 59136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 351519994 + ... + 351520006.

Almost surely, 2^4569760000 is an apocalyptic number.

4569760000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4569760000 is the 67600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4569760000

4569760000 is an abundant number, since it is smaller than the sum of its proper divisors (7778514631).

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

4569760000 is an frugal number, since it uses more digits than its factorization.

4569760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 4569760000 is about 1659.4511177036.

The spelling of 4569760000 in words is "four billion, five hundred sixty-nine million, seven hundred sixty thousand".