7318405074816 has 768 divisors, whose sum is σ = 26169715353600. Its totient is φ = 2009589626880.

The previous prime is 7318405074803. The next prime is 7318405074821. The reversal of 7318405074816 is 6184705048137.

7318405074816 is a `hidden beast` number, since 7 + 3 + 1 + 84 + 0 + 507 + 48 + 16 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 149492455 + ... + 149541401.

It is an arithmetic number, because the mean of its divisors is an integer number (34075150200).

Almost surely, 2^{7318405074816} is an apocalyptic number.

7318405074816 is a gapful number since it is divisible by the number (76) 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 7318405074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13084857676800).

7318405074816 is an abundant number, since it is smaller than the sum of its proper divisors (18851310278784).

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

7318405074816 is a wasteful number, since it uses less digits than its factorization.

7318405074816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49029 (or 49005 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 7318405074816 in words is "seven trillion, three hundred eighteen billion, four hundred five million, seventy-four thousand, eight hundred sixteen".