473873732640 has 1728 divisors, whose sum is σ = 2136237981696. Its totient is φ = 93519360000.

The previous prime is 473873732627. The next prime is 473873732663. The reversal of 473873732640 is 46237378374.

It is a happy number.

473873732640 is a `hidden beast` number, since 4 + 7 + 3 + 8 + 7 + 373 + 264 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3138236565 + ... + 3138236715.

It is an arithmetic number, because the mean of its divisors is an integer number (1236248832).

Almost surely, 2^473873732640 is an apocalyptic number.

473873732640 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 473873732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068118990848).

473873732640 is an abundant number, since it is smaller than the sum of its proper divisors (1662364249056).

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

473873732640 is a wasteful number, since it uses less digits than its factorization.

473873732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 473873732640 in words is "four hundred seventy-three billion, eight hundred seventy-three million, seven hundred thirty-two thousand, six hundred forty".