474719967984000 has 2048 divisors, whose sum is σ = 1701677285867520. Its totient is φ = 116794046054400.

The previous prime is 474719967983929. The next prime is 474719967984007. The reversal of 474719967984000 is 489769917474.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474719967984007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1368069071827 + ... + 1368069072173.

It is an arithmetic number, because the mean of its divisors is an integer number (830897112240).

Almost surely, 2^{474719967984000} is an apocalyptic number.

474719967984000 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 474719967984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850838642933760).

474719967984000 is an abundant number, since it is smaller than the sum of its proper divisors (1226957317883520).

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

474719967984000 is a wasteful number, since it uses less digits than its factorization.

474719967984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 75.

The spelling of 474719967984000 in words is "four hundred seventy-four trillion, seven hundred nineteen billion, nine hundred sixty-seven million, nine hundred eighty-four thousand".