478749344640 has 512 divisors, whose sum is σ = 1760823290880. Its totient is φ = 108380160000.

The previous prime is 478749344617. The next prime is 478749344653. The reversal of 478749344640 is 46443947874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1137171630 + ... + 1137172050.

It is an arithmetic number, because the mean of its divisors is an integer number (3439107990).

Almost surely, 2^478749344640 is an apocalyptic number.

478749344640 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 478749344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880411645440).

478749344640 is an abundant number, since it is smaller than the sum of its proper divisors (1282073946240).

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

478749344640 is a wasteful number, since it uses less digits than its factorization.

478749344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 60.

The spelling of 478749344640 in words is "four hundred seventy-eight billion, seven hundred forty-nine million, three hundred forty-four thousand, six hundred forty".