7813318464000 has 960 divisors, whose sum is σ = 32253577424640. Its totient is φ = 1780840857600.

The previous prime is 7813318463971. The next prime is 7813318464011. The reversal of 7813318464000 is 4648133187.

7813318464000 is a `hidden beast` number, since 78 + 133 + 1 + 8 + 46 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×7813318464000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1528125444 + ... + 1528130556.

It is an arithmetic number, because the mean of its divisors is an integer number (33597476484).

Almost surely, 2^{7813318464000} is an apocalyptic number.

7813318464000 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 7813318464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126788712320).

7813318464000 is an abundant number, since it is smaller than the sum of its proper divisors (24440258960640).

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

7813318464000 is a wasteful number, since it uses less digits than its factorization.

7813318464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 7813318464000 in words is "seven trillion, eight hundred thirteen billion, three hundred eighteen million, four hundred sixty-four thousand".