7646720400 has 360 divisors, whose sum is σ = 29887253760. Its totient is φ = 1793664000.

The previous prime is 7646720383. The next prime is 7646720441. The reversal of 7646720400 is 40276467.

7646720400 is a `hidden beast` number, since 7 + 646 + 7 + 2 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1224486 + ... + 1230714.

Almost surely, 2^7646720400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7646720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943626880).

7646720400 is an abundant number, since it is smaller than the sum of its proper divisors (22240533360).

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

7646720400 is a wasteful number, since it uses less digits than its factorization.

7646720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7646720400 is about 87445.5281875523. The cubic root of 7646720400 is about 1970.1157223714.

Adding to 7646720400 its reverse (40276467), we get a palindrome (7686996867).

The spelling of 7646720400 in words is "seven billion, six hundred forty-six million, seven hundred twenty thousand, four hundred".