7953062400 has 720 divisors, whose sum is σ = 31345636608. Its totient is φ = 1916928000.

The previous prime is 7953062387. The next prime is 7953062401. The reversal of 7953062400 is 42603597.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (7953062401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 60710335 + ... + 60710465.

Almost surely, 2^7953062400 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 7953062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672818304).

7953062400 is an abundant number, since it is smaller than the sum of its proper divisors (23392574208).

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

7953062400 is a wasteful number, since it uses less digits than its factorization.

7953062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7953062400 is about 89179.9439335998. The cubic root of 7953062400 is about 1996.0808585147.

Adding to 7953062400 its reverse (42603597), we get a palindrome (7995665997).

The spelling of 7953062400 in words is "seven billion, nine hundred fifty-three million, sixty-two thousand, four hundred".