479819289600 has 1584 divisors, whose sum is σ = 2120458805760. Its totient is φ = 105902899200.

The previous prime is 479819289577. The next prime is 479819289611. The reversal of 479819289600 is 6982918974.

479819289600 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 19 + 2 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1049932572 + ... + 1049933028.

Almost surely, 2^479819289600 is an apocalyptic number.

479819289600 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 479819289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060229402880).

479819289600 is an abundant number, since it is smaller than the sum of its proper divisors (1640639516160).

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

479819289600 is a wasteful number, since it uses less digits than its factorization.

479819289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 479819289600 in words is "four hundred seventy-nine billion, eight hundred nineteen million, two hundred eighty-nine thousand, six hundred".