7343690086656 has 720 divisors, whose sum is σ = 27882001889280. Its totient is φ = 1866848808960.

The previous prime is 7343690086573. The next prime is 7343690086741. The reversal of 7343690086656 is 6566800963437.

It is a happy number.

7343690086656 is a `hidden beast` number, since 7 + 3 + 436 + 90 + 0 + 8 + 66 + 56 = 666.

It is a super-4 number, since 4×7343690086656⁴ (a number of 53 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 7343690086593 and 7343690086602.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74994655 + ... + 75092513.

It is an arithmetic number, because the mean of its divisors is an integer number (38725002624).

Almost surely, 2^{7343690086656} 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 7343690086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941000944640).

7343690086656 is an abundant number, since it is smaller than the sum of its proper divisors (20538311802624).

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

7343690086656 is a wasteful number, since it uses less digits than its factorization.

7343690086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97952 (or 97929 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 7343690086656 in words is "seven trillion, three hundred forty-three billion, six hundred ninety million, eighty-six thousand, six hundred fifty-six".