296374740480 has 640 divisors, whose sum is σ = 1295717068800. Its totient is φ = 62530486272.

The previous prime is 296374740443. The next prime is 296374740503. The reversal of 296374740480 is 84047473692.

296374740480 is a `hidden beast` number, since 2 + 96 + 3 + 7 + 4 + 74 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6266361 + ... + 6313479.

It is an arithmetic number, because the mean of its divisors is an integer number (2024557920).

Almost surely, 2^296374740480 is an apocalyptic number.

296374740480 is a gapful number since it is divisible by the number (20) 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 296374740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647858534400).

296374740480 is an abundant number, since it is smaller than the sum of its proper divisors (999342328320).

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

296374740480 is a wasteful number, since it uses less digits than its factorization.

296374740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47171 (or 47149 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 296374740480 in words is "two hundred ninety-six billion, three hundred seventy-four million, seven hundred forty thousand, four hundred eighty".