6956941629120 has 448 divisors, whose sum is σ = 25439368390656. Its totient is φ = 1577860300800.

The previous prime is 6956941629103. The next prime is 6956941629181. The reversal of 6956941629120 is 219261496596.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1048202442 + ... + 1048209078.

Almost surely, 2^{6956941629120} is an apocalyptic number.

6956941629120 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 6956941629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719684195328).

6956941629120 is an abundant number, since it is smaller than the sum of its proper divisors (18482426761536).

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

6956941629120 is a wasteful number, since it uses less digits than its factorization.

6956941629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7848 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 6956941629120 in words is "six trillion, nine hundred fifty-six billion, nine hundred forty-one million, six hundred twenty-nine thousand, one hundred twenty".