7868904960 has 320 divisors, whose sum is σ = 28934433792. Its totient is φ = 1787068416.

The previous prime is 7868904949. The next prime is 7868905019. The reversal of 7868904960 is 694098687.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 7868904960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10590349 + ... + 10591091.

Almost surely, 2^7868904960 is an apocalyptic number.

7868904960 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 7868904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467216896).

7868904960 is an abundant number, since it is smaller than the sum of its proper divisors (21065528832).

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

7868904960 is a wasteful number, since it uses less digits than its factorization.

7868904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 7868904960 is about 88706.8484391143. The cubic root of 7868904960 is about 1989.0151907743.

The spelling of 7868904960 in words is "seven billion, eight hundred sixty-eight million, nine hundred four thousand, nine hundred sixty".