473951755872 has 384 divisors, whose sum is σ = 1623297715200. Its totient is φ = 131737632768.

The previous prime is 473951755859. The next prime is 473951755873. The reversal of 473951755872 is 278557159374.

It is a happy number.

473951755872 is a `hidden beast` number, since 4 + 7 + 3 + 9 + 5 + 1 + 7 + 558 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473951755873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34605858 + ... + 34619550.

It is an arithmetic number, because the mean of its divisors is an integer number (4227337800).

Almost surely, 2^473951755872 is an apocalyptic number.

473951755872 is a gapful number since it is divisible by the number (42) 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 473951755872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811648857600).

473951755872 is an abundant number, since it is smaller than the sum of its proper divisors (1149345959328).

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

473951755872 is a wasteful number, since it uses less digits than its factorization.

473951755872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13875 (or 13861 counting only the distinct ones).

The product of its digits is 74088000, while the sum is 63.

The spelling of 473951755872 in words is "four hundred seventy-three billion, nine hundred fifty-one million, seven hundred fifty-five thousand, eight hundred seventy-two".