1506875274240 has 704 divisors, whose sum is σ = 5872092979200. Its totient is φ = 322135916544.

The previous prime is 1506875274173. The next prime is 1506875274263. The reversal of 1506875274240 is 424725786051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161382852 + ... + 161392188.

Almost surely, 2^{1506875274240} is an apocalyptic number.

1506875274240 is a gapful number since it is divisible by the number (10) 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 1506875274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936046489600).

1506875274240 is an abundant number, since it is smaller than the sum of its proper divisors (4365217704960).

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

1506875274240 is a wasteful number, since it uses less digits than its factorization.

1506875274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 1506875274240 in words is "one trillion, five hundred six billion, eight hundred seventy-five million, two hundred seventy-four thousand, two hundred forty".