7802149968 has 120 divisors (see below), whose sum is σ = 23275990400. Its totient is φ = 2432581632.

The previous prime is 7802149963. The next prime is 7802149969. The reversal of 7802149968 is 8699412087.

7802149968 is a `hidden beast` number, since 78 + 0 + 21 + 499 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7802149961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198096 + ... + 234192.

Almost surely, 2^7802149968 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 7802149968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11637995200).

7802149968 is an abundant number, since it is smaller than the sum of its proper divisors (15473840432).

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

7802149968 is a wasteful number, since it uses less digits than its factorization.

7802149968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36209 (or 36200 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 7802149968 is about 88329.7796215976. The cubic root of 7802149968 is about 1983.3746796330.

The spelling of 7802149968 in words is "seven billion, eight hundred two million, one hundred forty-nine thousand, nine hundred sixty-eight".