7824967920 has 960 divisors, whose sum is σ = 35209175040. Its totient is φ = 1509580800.

The previous prime is 7824967919. The next prime is 7824967937. The reversal of 7824967920 is 297694287.

7824967920 is a `hidden beast` number, since 7 + 82 + 496 + 79 + 2 + 0 = 666.

It is a super-2 number, since 2×7824967920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49840482 + ... + 49840638.

It is an arithmetic number, because the mean of its divisors is an integer number (36676224).

Almost surely, 2^7824967920 is an apocalyptic number.

7824967920 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 7824967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604587520).

7824967920 is an abundant number, since it is smaller than the sum of its proper divisors (27384207120).

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

7824967920 is a wasteful number, since it uses less digits than its factorization.

7824967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7824967920 is about 88458.8487377040. The cubic root of 7824967920 is about 1985.3063053722.

The spelling of 7824967920 in words is "seven billion, eight hundred twenty-four million, nine hundred sixty-seven thousand, nine hundred twenty".