7481152865340 has 1152 divisors, whose sum is σ = 30128817438720. Its totient is φ = 1457290598400.

The previous prime is 7481152865327. The next prime is 7481152865359. The reversal of 7481152865340 is 435682511847.

It is a happy number.

7481152865340 is a `hidden beast` number, since 7 + 4 + 8 + 1 + 15 + 286 + 5 + 340 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2474743069 + ... + 2474746091.

It is an arithmetic number, because the mean of its divisors is an integer number (26153487360).

Almost surely, 2^{7481152865340} is an apocalyptic number.

7481152865340 is a gapful number since it is divisible by the number (70) 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 7481152865340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064408719360).

7481152865340 is an abundant number, since it is smaller than the sum of its proper divisors (22647664573380).

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

7481152865340 is a wasteful number, since it uses less digits than its factorization.

7481152865340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 7481152865340 in words is "seven trillion, four hundred eighty-one billion, one hundred fifty-two million, eight hundred sixty-five thousand, three hundred forty".