7641446400 has 864 divisors, whose sum is σ = 32952890880. Its totient is φ = 1654456320.

The previous prime is 7641446389. The next prime is 7641446411. The reversal of 7641446400 is 46441467.

7641446400 is a `hidden beast` number, since 7 + 6 + 4 + 1 + 4 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7641446389) and next prime (7641446411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74188749 + ... + 74188851.

It is an arithmetic number, because the mean of its divisors is an integer number (38139920).

Almost surely, 2^7641446400 is an apocalyptic number.

7641446400 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 7641446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476445440).

7641446400 is an abundant number, since it is smaller than the sum of its proper divisors (25311444480).

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

7641446400 is a wasteful number, since it uses less digits than its factorization.

7641446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7641446400 is about 87415.3670700981. The cubic root of 7641446400 is about 1969.6626837061.

Adding to 7641446400 its reverse (46441467), we get a palindrome (7687887867).

The spelling of 7641446400 in words is "seven billion, six hundred forty-one million, four hundred forty-six thousand, four hundred".