7875747865440 has 1152 divisors, whose sum is σ = 34051312189440. Its totient is φ = 1613374930944.

The previous prime is 7875747865397. The next prime is 7875747865459. The reversal of 7875747865440 is 445687475787.

7875747865440 is a `hidden beast` number, since 7 + 8 + 7 + 5 + 7 + 4 + 78 + 6 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 782172726 + ... + 782182794.

It is an arithmetic number, because the mean of its divisors is an integer number (29558430720).

Almost surely, 2^{7875747865440} is an apocalyptic number.

7875747865440 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 7875747865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025656094720).

7875747865440 is an abundant number, since it is smaller than the sum of its proper divisors (26175564324000).

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

7875747865440 is a wasteful number, since it uses less digits than its factorization.

7875747865440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10284 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 1475174400, while the sum is 72.

The spelling of 7875747865440 in words is "seven trillion, eight hundred seventy-five billion, seven hundred forty-seven million, eight hundred sixty-five thousand, four hundred forty".