6128640000 has 840 divisors, whose sum is σ = 26613855840. Its totient is φ = 1327104000.

The previous prime is 6128639971. The next prime is 6128640017. The reversal of 6128640000 is 468216.

6128640000 is a `hidden beast` number, since 6 + 12 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 322559991 + ... + 322560009.

Almost surely, 2^6128640000 is an apocalyptic number.

6128640000 is a gapful number since it is divisible by the number (60) 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 6128640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306927920).

6128640000 is an abundant number, since it is smaller than the sum of its proper divisors (20485215840).

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

6128640000 is an equidigital number, since it uses as much as digits as its factorization.

6128640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6128640000 is about 78285.6308654404. The cubic root of 6128640000 is about 1830.0152287544.

The spelling of 6128640000 in words is "six billion, one hundred twenty-eight million, six hundred forty thousand".