7346968890240 has 256 divisors, whose sum is σ = 27028952778240. Its totient is φ = 1662680064000.

The previous prime is 7346968890227. The next prime is 7346968890241. The reversal of 7346968890240 is 420988696437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7346968890241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348746 + ... + 4063625.

It is an arithmetic number, because the mean of its divisors is an integer number (105581846790).

Almost surely, 2^{7346968890240} is an apocalyptic number.

7346968890240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7346968890240 is an abundant number, since it is smaller than the sum of its proper divisors (19681983888000).

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

7346968890240 is a wasteful number, since it uses less digits than its factorization.

7346968890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412501 (or 5412489 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 7346968890240 in words is "seven trillion, three hundred forty-six billion, nine hundred sixty-eight million, eight hundred ninety thousand, two hundred forty".