7933573872 has 240 divisors, whose sum is σ = 26946578880. Its totient is φ = 2127126528.

The previous prime is 7933573871. The next prime is 7933573873. The reversal of 7933573872 is 2783753397.

It is an interprime number because it is at equal distance from previous prime (7933573871) and next prime (7933573873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7933573871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11189454 + ... + 11190162.

It is an arithmetic number, because the mean of its divisors is an integer number (112277412).

Almost surely, 2^7933573872 is an apocalyptic number.

7933573872 is a gapful number since it is divisible by the number (72) 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 7933573872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473289440).

7933573872 is an abundant number, since it is smaller than the sum of its proper divisors (19013005008).

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

7933573872 is a wasteful number, since it uses less digits than its factorization.

7933573872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1391 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The square root of 7933573872 is about 89070.6117190176. The cubic root of 7933573872 is about 1994.4490973262.

The spelling of 7933573872 in words is "seven billion, nine hundred thirty-three million, five hundred seventy-three thousand, eight hundred seventy-two".