473637542400 has 960 divisors, whose sum is σ = 1958188953600. Its totient is φ = 111089664000.

The previous prime is 473637542353. The next prime is 473637542407. The reversal of 473637542400 is 4245736374.

473637542400 is a `hidden beast` number, since 4 + 7 + 3 + 63 + 7 + 542 + 40 + 0 = 666.

473637542400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (473637542407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117847591 + ... + 117851609.

It is an arithmetic number, because the mean of its divisors is an integer number (2039780160).

Almost surely, 2^473637542400 is an apocalyptic number.

473637542400 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 473637542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979094476800).

473637542400 is an abundant number, since it is smaller than the sum of its proper divisors (1484551411200).

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

473637542400 is a wasteful number, since it uses less digits than its factorization.

473637542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 473637542400 in words is "four hundred seventy-three billion, six hundred thirty-seven million, five hundred forty-two thousand, four hundred".