6074630400 has 432 divisors, whose sum is σ = 21843851904. Its totient is φ = 1480458240.

The previous prime is 6074630357. The next prime is 6074630407. The reversal of 6074630400 is 40364706.

It is a super-2 number, since 2×6074630400² = 73802268993208320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6074630407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12076549 + ... + 12077051.

It is an arithmetic number, because the mean of its divisors is an integer number (50564472).

Almost surely, 2^6074630400 is an apocalyptic number.

6074630400 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 6074630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10921925952).

6074630400 is an abundant number, since it is smaller than the sum of its proper divisors (15769221504).

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

6074630400 is a wasteful number, since it uses less digits than its factorization.

6074630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 6074630400 is about 77939.9153194305. The cubic root of 6074630400 is about 1824.6235941050.

The spelling of 6074630400 in words is "six billion, seventy-four million, six hundred thirty thousand, four hundred".