4479753600 has 576 divisors, whose sum is σ = 18967952640. Its totient is φ = 1022699520.

The previous prime is 4479753583. The next prime is 4479753601. The reversal of 4479753600 is 63579744.

4479753600 is a `hidden beast` number, since 44 + 79 + 7 + 536 + 0 + 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 not an unprimeable number, because it can be changed into a prime (4479753601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5442789 + ... + 5443611.

Almost surely, 2^4479753600 is an apocalyptic number.

4479753600 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 4479753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483976320).

4479753600 is an abundant number, since it is smaller than the sum of its proper divisors (14488199040).

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

4479753600 is an equidigital number, since it uses as much as digits as its factorization.

4479753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 840 counting only the distinct ones).

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

The square root of 4479753600 is about 66930.9614453580. The cubic root of 4479753600 is about 1648.4838966105.

The spelling of 4479753600 in words is "four billion, four hundred seventy-nine million, seven hundred fifty-three thousand, six hundred".