7606429286400 has 2280 divisors, whose sum is σ = 33982857279360. Its totient is φ = 1644334940160.

The previous prime is 7606429286383. The next prime is 7606429286503. The reversal of 7606429286400 is 46829246067.

7606429286400 is a `hidden beast` number, since 7 + 606 + 4 + 2 + 9 + 28 + 6 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×7606429286400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85465497556 + ... + 85465497644.

Almost surely, 2^{7606429286400} is an apocalyptic number.

7606429286400 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 7606429286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16991428639680).

7606429286400 is an abundant number, since it is smaller than the sum of its proper divisors (26376427992960).

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

7606429286400 is an frugal number, since it uses more digits than its factorization.

7606429286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 7606429286400 in words is "seven trillion, six hundred six billion, four hundred twenty-nine million, two hundred eighty-six thousand, four hundred".