6789452400 has 600 divisors, whose sum is σ = 26372530800. Its totient is φ = 1667174400.

The previous prime is 6789452399. The next prime is 6789452429. The reversal of 6789452400 is 42549876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25239466 + ... + 25239734.

It is an arithmetic number, because the mean of its divisors is an integer number (43954218).

Almost surely, 2^6789452400 is an apocalyptic number.

6789452400 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 6789452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186265400).

6789452400 is an abundant number, since it is smaller than the sum of its proper divisors (19583078400).

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

6789452400 is a wasteful number, since it uses less digits than its factorization.

6789452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6789452400 is about 82398.1334740053. The cubic root of 6789452400 is about 1893.5564178165.

The spelling of 6789452400 in words is "six billion, seven hundred eighty-nine million, four hundred fifty-two thousand, four hundred".