6945969697920 has 768 divisors, whose sum is σ = 28070772912000. Its totient is φ = 1625795297280.

The previous prime is 6945969697913. The next prime is 6945969697963. The reversal of 6945969697920 is 297969695496.

6945969697920 is a `hidden beast` number, since 6 + 9 + 459 + 6 + 96 + 9 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 6945969697920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49540876 + ... + 49680884.

Almost surely, 2^{6945969697920} is an apocalyptic number.

6945969697920 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 6945969697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035386456000).

6945969697920 is an abundant number, since it is smaller than the sum of its proper divisors (21124803214080).

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

6945969697920 is a wasteful number, since it uses less digits than its factorization.

6945969697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140083 (or 140059 counting only the distinct ones).

The product of its (nonzero) digits is 3571283520, while the sum is 81.

The spelling of 6945969697920 in words is "six trillion, nine hundred forty-five billion, nine hundred sixty-nine million, six hundred ninety-seven thousand, nine hundred twenty".