7648951875840 has 720 divisors, whose sum is σ = 29906908770816. Its totient is φ = 1851221606400.

The previous prime is 7648951875781. The next prime is 7648951875871. The reversal of 7648951875840 is 485781598467.

It is a happy number.

7648951875840 is a `hidden beast` number, since 7 + 6 + 489 + 51 + 8 + 7 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 731042449 + ... + 731052911.

Almost surely, 2^{7648951875840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7648951875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14953454385408).

7648951875840 is an abundant number, since it is smaller than the sum of its proper divisors (22257956894976).

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

7648951875840 is a wasteful number, since it uses less digits than its factorization.

7648951875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11125 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 7648951875840 in words is "seven trillion, six hundred forty-eight billion, nine hundred fifty-one million, eight hundred seventy-five thousand, eight hundred forty".