8752074240 has 480 divisors, whose sum is σ = 35070567840. Its totient is φ = 1845559296.

The previous prime is 8752074229. The next prime is 8752074251. The reversal of 8752074240 is 424702578.

It is an interprime number because it is at equal distance from previous prime (8752074229) and next prime (8752074251).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4891266 + ... + 4893054.

It is an arithmetic number, because the mean of its divisors is an integer number (73063683).

Almost surely, 2^8752074240 is an apocalyptic number.

8752074240 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 8752074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17535283920).

8752074240 is an abundant number, since it is smaller than the sum of its proper divisors (26318493600).

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

8752074240 is a wasteful number, since it uses less digits than its factorization.

8752074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 8752074240 is about 93552.5212915184. The cubic root of 8752074240 is about 2060.8054662741.

The spelling of 8752074240 in words is "eight billion, seven hundred fifty-two million, seventy-four thousand, two hundred forty".