7718252640 has 288 divisors, whose sum is σ = 28425206880. Its totient is φ = 1755242496.

The previous prime is 7718252557. The next prime is 7718252687. The reversal of 7718252640 is 462528177.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7718252592 and 7718252601.

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, 5385364 + ... + 5386796.

It is an arithmetic number, because the mean of its divisors is an integer number (98698635).

Almost surely, 2^7718252640 is an apocalyptic number.

7718252640 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 7718252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212603440).

7718252640 is an abundant number, since it is smaller than the sum of its proper divisors (20706954240).

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

7718252640 is a wasteful number, since it uses less digits than its factorization.

7718252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 7718252640 is about 87853.5863809782. The cubic root of 7718252640 is about 1976.2398999548.

The spelling of 7718252640 in words is "seven billion, seven hundred eighteen million, two hundred fifty-two thousand, six hundred forty".