7326405870840 has 768 divisors, whose sum is σ = 28676419200000. Its totient is φ = 1620528602112.

The previous prime is 7326405870821. The next prime is 7326405870857. The reversal of 7326405870840 is 480785046237.

7326405870840 is a `hidden beast` number, since 73 + 26 + 405 + 8 + 70 + 84 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 578744431 + ... + 578757089.

It is an arithmetic number, because the mean of its divisors is an integer number (37339087500).

Almost surely, 2^{7326405870840} is an apocalyptic number.

7326405870840 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 7326405870840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338209600000).

7326405870840 is an abundant number, since it is smaller than the sum of its proper divisors (21350013329160).

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

7326405870840 is a wasteful number, since it uses less digits than its factorization.

7326405870840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12849 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 7326405870840 in words is "seven trillion, three hundred twenty-six billion, four hundred five million, eight hundred seventy thousand, eight hundred forty".