6946562792988 has 1728 divisors, whose sum is σ = 25613195328000. Its totient is φ = 1612413444096.

The previous prime is 6946562792951. The next prime is 6946562792999. The reversal of 6946562792988 is 8892972656496.

6946562792988 is a `hidden beast` number, since 6 + 9 + 4 + 6 + 56 + 279 + 298 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 40153542070 + ... + 40153542242.

It is an arithmetic number, because the mean of its divisors is an integer number (14822451000).

Almost surely, 2^{6946562792988} is an apocalyptic number.

6946562792988 is a gapful number since it is divisible by the number (68) 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 6946562792988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806597664000).

6946562792988 is an abundant number, since it is smaller than the sum of its proper divisors (18666632535012).

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

6946562792988 is a wasteful number, since it uses less digits than its factorization.

6946562792988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 373 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 6946562792988 in words is "six trillion, nine hundred forty-six billion, five hundred sixty-two million, seven hundred ninety-two thousand, nine hundred eighty-eight".