374874480000 has 1600 divisors, whose sum is σ = 1530303833520. Its totient is φ = 90685440000.

The previous prime is 374874479981. The next prime is 374874480047. The reversal of 374874480000 is 84478473.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 4516559959 + ... + 4516560041.

Almost surely, 2^374874480000 is an apocalyptic number.

374874480000 is a gapful number since it is divisible by the number (30) 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 374874480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765151916760).

374874480000 is an abundant number, since it is smaller than the sum of its proper divisors (1155429353520).

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

374874480000 is an equidigital number, since it uses as much as digits as its factorization.

374874480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 374874480000 in words is "three hundred seventy-four billion, eight hundred seventy-four million, four hundred eighty thousand".