473520307968 has 360 divisors, whose sum is σ = 1489063606800. Its totient is φ = 149251424256.

The previous prime is 473520307951. The next prime is 473520307979. The reversal of 473520307968 is 869703025374.

473520307968 is a `hidden beast` number, since 47 + 3 + 520 + 3 + 0 + 79 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336067648 + ... + 336069056.

Almost surely, 2^473520307968 is an apocalyptic number.

473520307968 is a gapful number since it is divisible by the number (48) 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 473520307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744531803400).

473520307968 is an abundant number, since it is smaller than the sum of its proper divisors (1015543298832).

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

473520307968 is a wasteful number, since it uses less digits than its factorization.

473520307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 473520307968 in words is "four hundred seventy-three billion, five hundred twenty million, three hundred seven thousand, nine hundred sixty-eight".