6274904630400 has 2304 divisors, whose sum is σ = 28091722014720. Its totient is φ = 1352650752000.

The previous prime is 6274904630353. The next prime is 6274904630429. The reversal of 6274904630400 is 40364094726.

It is a happy number.

6274904630400 is a `hidden beast` number, since 6 + 2 + 7 + 4 + 9 + 0 + 4 + 630 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6918306747 + ... + 6918307653.

It is an arithmetic number, because the mean of its divisors is an integer number (12192587680).

Almost surely, 2^{6274904630400} is an apocalyptic number.

6274904630400 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 6274904630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045861007360).

6274904630400 is an abundant number, since it is smaller than the sum of its proper divisors (21816817384320).

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

6274904630400 is a wasteful number, since it uses less digits than its factorization.

6274904630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 6274904630400 in words is "six trillion, two hundred seventy-four billion, nine hundred four million, six hundred thirty thousand, four hundred".