474682121760 has 1152 divisors, whose sum is σ = 1994217781248. Its totient is φ = 93671424000.

The previous prime is 474682121743. The next prime is 474682121789. The reversal of 474682121760 is 67121286474.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1434084795 + ... + 1434085125.

It is an arithmetic number, because the mean of its divisors is an integer number (1731091824).

Almost surely, 2^474682121760 is an apocalyptic number.

474682121760 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 474682121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997108890624).

474682121760 is an abundant number, since it is smaller than the sum of its proper divisors (1519535659488).

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

474682121760 is a wasteful number, since it uses less digits than its factorization.

474682121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 474682121760 in words is "four hundred seventy-four billion, six hundred eighty-two million, one hundred twenty-one thousand, seven hundred sixty".