6967345799040 has 384 divisors, whose sum is σ = 24566514204960. Its totient is φ = 1678286438400.

The previous prime is 6967345798999. The next prime is 6967345799077. The reversal of 6967345799040 is 409975437696.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36378730 + ... + 36569750.

Almost surely, 2^{6967345799040} is an apocalyptic number.

6967345799040 is a gapful number since it is divisible by the number (60) 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 6967345799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283257102480).

6967345799040 is an abundant number, since it is smaller than the sum of its proper divisors (17599168405920).

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

6967345799040 is a wasteful number, since it uses less digits than its factorization.

6967345799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191222 (or 191199 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 69.

The spelling of 6967345799040 in words is "six trillion, nine hundred sixty-seven billion, three hundred forty-five million, seven hundred ninety-nine thousand, forty".