6065126400 has 264 divisors, whose sum is σ = 20216892544. Its totient is φ = 1603584000.

The previous prime is 6065126387. The next prime is 6065126413. The reversal of 6065126400 is 46215606.

It is an interprime number because it is at equal distance from previous prime (6065126387) and next prime (6065126413).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11596539 + ... + 11597061.

Almost surely, 2^6065126400 is an apocalyptic number.

6065126400 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 6065126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108446272).

6065126400 is an abundant number, since it is smaller than the sum of its proper divisors (14151766144).

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

6065126400 is a wasteful number, since it uses less digits than its factorization.

6065126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6065126400 is about 77878.9214100966. The cubic root of 6065126400 is about 1823.6715321115.

The spelling of 6065126400 in words is "six billion, sixty-five million, one hundred twenty-six thousand, four hundred".