4765580400 has 240 divisors, whose sum is σ = 18010339328. Its totient is φ = 1054080000.

The previous prime is 4765580371. The next prime is 4765580401. The reversal of 4765580400 is 40855674.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4765580401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251250 + ... + 269550.

Almost surely, 2^4765580400 is an apocalyptic number.

4765580400 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 4765580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005169664).

4765580400 is an abundant number, since it is smaller than the sum of its proper divisors (13244758928).

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

4765580400 is a wasteful number, since it uses less digits than its factorization.

4765580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18360 (or 18349 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 4765580400 is about 69033.1833251227. The cubic root of 4765580400 is about 1682.8236246095.

The spelling of 4765580400 in words is "four billion, seven hundred sixty-five million, five hundred eighty thousand, four hundred".