7889646240 has 384 divisors, whose sum is σ = 31958115840. Its totient is φ = 1802787840.

The previous prime is 7889646239. The next prime is 7889646287. The reversal of 7889646240 is 426469887.

7889646240 is a `hidden beast` number, since 7 + 8 + 8 + 9 + 6 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×7889646240² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2447830 + ... + 2451050.

It is an arithmetic number, because the mean of its divisors is an integer number (83224260).

Almost surely, 2^7889646240 is an apocalyptic number.

7889646240 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 7889646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979057920).

7889646240 is an abundant number, since it is smaller than the sum of its proper divisors (24068469600).

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

7889646240 is an equidigital number, since it uses as much as digits as its factorization.

7889646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 7889646240 is about 88823.6806262834. The cubic root of 7889646240 is about 1990.7612417203.

It can be divided in two parts, 788 and 9646240, that added together give a triangular number (9647028 = T₄₃₉₂).

The spelling of 7889646240 in words is "seven billion, eight hundred eighty-nine million, six hundred forty-six thousand, two hundred forty".