7998033960 has 512 divisors, whose sum is σ = 31768243200. Its totient is φ = 1773674496.

The previous prime is 7998033949. The next prime is 7998033977. The reversal of 7998033960 is 693308997.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7998033897 and 7998033906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22657144 + ... + 22657496.

It is an arithmetic number, because the mean of its divisors is an integer number (62047350).

Almost surely, 2^7998033960 is an apocalyptic number.

7998033960 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 7998033960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884121600).

7998033960 is an abundant number, since it is smaller than the sum of its proper divisors (23770209240).

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

7998033960 is a wasteful number, since it uses less digits than its factorization.

7998033960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 7998033960 is about 89431.7279269500. The cubic root of 7998033960 is about 1999.8361499103.

The spelling of 7998033960 in words is "seven billion, nine hundred ninety-eight million, thirty-three thousand, nine hundred sixty".