4725976320 has 576 divisors, whose sum is σ = 18447018240. Its totient is φ = 1138655232.

The previous prime is 4725976291. The next prime is 4725976331. The reversal of 4725976320 is 236795274.

4725976320 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 9 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 30101682 + ... + 30101838.

Almost surely, 2^4725976320 is an apocalyptic number.

4725976320 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 4725976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223509120).

4725976320 is an abundant number, since it is smaller than the sum of its proper divisors (13721041920).

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

4725976320 is a wasteful number, since it uses less digits than its factorization.

4725976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4725976320 is about 68745.7367405427. The cubic root of 4725976320 is about 1678.1489817115.

The spelling of 4725976320 in words is "four billion, seven hundred twenty-five million, nine hundred seventy-six thousand, three hundred twenty".