7993996920 has 640 divisors, whose sum is σ = 34834060800. Its totient is φ = 1596754944.

The previous prime is 7993996919. The next prime is 7993996951. The reversal of 7993996920 is 296993997.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5601247 + ... + 5602673.

It is an arithmetic number, because the mean of its divisors is an integer number (54428220).

Almost surely, 2^7993996920 is an apocalyptic number.

7993996920 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 7993996920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17417030400).

7993996920 is an abundant number, since it is smaller than the sum of its proper divisors (26840063880).

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

7993996920 is a wasteful number, since it uses less digits than its factorization.

7993996920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

The square root of 7993996920 is about 89409.1545648431. The cubic root of 7993996920 is about 1999.4996181528.

The spelling of 7993996920 in words is "seven billion, nine hundred ninety-three million, nine hundred ninety-six thousand, nine hundred twenty".