8374372272000 has 1280 divisors, whose sum is σ = 36218643626880. Its totient is φ = 1877918515200.

The previous prime is 8374372271939. The next prime is 8374372272031. The reversal of 8374372272000 is 2722734738.

8374372272000 is a `hidden beast` number, since 8 + 3 + 7 + 4 + 372 + 272 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×8374372272000² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 480807292 + ... + 480824708.

Almost surely, 2^{8374372272000} is an apocalyptic number.

8374372272000 is a gapful number since it is divisible by the number (80) 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 8374372272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109321813440).

8374372272000 is an abundant number, since it is smaller than the sum of its proper divisors (27844271354880).

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

8374372272000 is a wasteful number, since it uses less digits than its factorization.

8374372272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17518 (or 17487 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 8374372272000 in words is "eight trillion, three hundred seventy-four billion, three hundred seventy-two million, two hundred seventy-two thousand".