6070334400 has 504 divisors, whose sum is σ = 24115668304. Its totient is φ = 1492992000.

The previous prime is 6070334393. The next prime is 6070334429. The reversal of 6070334400 is 44330706.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5053800 + ... + 5055000.

Almost surely, 2^6070334400 is an apocalyptic number.

6070334400 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 6070334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057834152).

6070334400 is an abundant number, since it is smaller than the sum of its proper divisors (18045333904).

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

6070334400 is a wasteful number, since it uses less digits than its factorization.

6070334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 6070334400 is about 77912.3507539081. The cubic root of 6070334400 is about 1824.1933659268.

The spelling of 6070334400 in words is "six billion, seventy million, three hundred thirty-four thousand, four hundred".