6479978400 has 576 divisors, whose sum is σ = 28370684160. Its totient is φ = 1393459200.

The previous prime is 6479978389. The next prime is 6479978411. The reversal of 6479978400 is 48799746.

It is a happy number.

6479978400 is a `hidden beast` number, since 6 + 479 + 97 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6479978389) and next prime (6479978411).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2569140 + ... + 2571660.

It is an arithmetic number, because the mean of its divisors is an integer number (49254660).

Almost surely, 2^6479978400 is an apocalyptic number.

6479978400 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 6479978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185342080).

6479978400 is an abundant number, since it is smaller than the sum of its proper divisors (21890705760).

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

6479978400 is a wasteful number, since it uses less digits than its factorization.

6479978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 6479978400 is about 80498.3130258020. The cubic root of 6479978400 is about 1864.3374320817.

The spelling of 6479978400 in words is "six billion, four hundred seventy-nine million, nine hundred seventy-eight thousand, four hundred".