6128690400 has 864 divisors, whose sum is σ = 27376247808. Its totient is φ = 1257062400.

The previous prime is 6128690371. The next prime is 6128690429. The reversal of 6128690400 is 40968216.

It is an interprime number because it is at equal distance from previous prime (6128690371) and next prime (6128690429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19706245 + ... + 19706555.

It is an arithmetic number, because the mean of its divisors is an integer number (31685472).

Almost surely, 2^6128690400 is an apocalyptic number.

6128690400 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 6128690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688123904).

6128690400 is an abundant number, since it is smaller than the sum of its proper divisors (21247557408).

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

6128690400 is a wasteful number, since it uses less digits than its factorization.

6128690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6128690400 is about 78285.9527629319. The cubic root of 6128690400 is about 1830.0202452298.

The spelling of 6128690400 in words is "six billion, one hundred twenty-eight million, six hundred ninety thousand, four hundred".