7008464390400 has 1728 divisors, whose sum is σ = 29976991349760. Its totient is φ = 1583353036800.

The previous prime is 7008464390393. The next prime is 7008464390407. The reversal of 7008464390400 is 40934648007.

It is an interprime number because it is at equal distance from previous prime (7008464390393) and next prime (7008464390407).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×7008464390400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7008464390407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3457554187 + ... + 3457556213.

It is an arithmetic number, because the mean of its divisors is an integer number (17347795920).

Almost surely, 2^{7008464390400} 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 7008464390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988495674880).

7008464390400 is an abundant number, since it is smaller than the sum of its proper divisors (22968526959360).

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

7008464390400 is a wasteful number, since it uses less digits than its factorization.

7008464390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 7008464390400 in words is "seven trillion, eight billion, four hundred sixty-four million, three hundred ninety thousand, four hundred".