6219878400 has 468 divisors, whose sum is σ = 23648170572. Its totient is φ = 1557135360.

The previous prime is 6219878333. The next prime is 6219878411. The reversal of 6219878400 is 48789126.

It can be written as a sum of positive squares in 6 ways, for example, as 53231616 + 6166646784 = 7296^2 + 78528^2 .

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 35 ways as a sum of consecutive naturals, for example, 15667002 + ... + 15667398.

It is an arithmetic number, because the mean of its divisors is an integer number (50530279).

Almost surely, 2^6219878400 is an apocalyptic number.

6219878400 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 6219878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824085286).

6219878400 is an abundant number, since it is smaller than the sum of its proper divisors (17428292172).

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

6219878400 is a wasteful number, since it uses less digits than its factorization.

6219878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 6219878400 is about 78866.2056903969. The cubic root of 6219878400 is about 1839.0518114005.

The spelling of 6219878400 in words is "six billion, two hundred nineteen million, eight hundred seventy-eight thousand, four hundred".