7340886064512 has 3072 divisors, whose sum is σ = 31480731648000. Its totient is φ = 1643933491200.

The previous prime is 7340886064507. The next prime is 7340886064549. The reversal of 7340886064512 is 2154606880437.

It is a happy number.

7340886064512 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 8 + 8 + 60 + 64 + 512 = 666.

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 383 ways as a sum of consecutive naturals, for example, 103392761437 + ... + 103392761507.

It is an arithmetic number, because the mean of its divisors is an integer number (10247634000).

Almost surely, 2^{7340886064512} is an apocalyptic number.

7340886064512 is a gapful number since it is divisible by the number (72) 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 7340886064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740365824000).

7340886064512 is an abundant number, since it is smaller than the sum of its proper divisors (24139845583488).

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

7340886064512 is a wasteful number, since it uses less digits than its factorization.

7340886064512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 7340886064512 in words is "seven trillion, three hundred forty billion, eight hundred eighty-six million, sixty-four thousand, five hundred twelve".