7606726400 has 432 divisors, whose sum is σ = 23866430784. Its totient is φ = 2335703040.

The previous prime is 7606726397. The next prime is 7606726409. The reversal of 7606726400 is 46276067.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7606726409) 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, 21548624 + ... + 21548976.

Almost surely, 2^7606726400 is an apocalyptic number.

7606726400 is a gapful number since it is divisible by the number (70) 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 7606726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11933215392).

7606726400 is an abundant number, since it is smaller than the sum of its proper divisors (16259704384).

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

7606726400 is a wasteful number, since it uses less digits than its factorization.

7606726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 7606726400 is about 87216.5488883847. The cubic root of 7606726400 is about 1966.6750065081.

The spelling of 7606726400 in words is "seven billion, six hundred six million, seven hundred twenty-six thousand, four hundred".