6930956749752 has 384 divisors, whose sum is σ = 22457206886400. Its totient is φ = 1889563852800.

The previous prime is 6930956749741. The next prime is 6930956749753. The reversal of 6930956749752 is 2579476590396.

6930956749752 is a `hidden beast` number, since 6 + 9 + 3 + 0 + 9 + 567 + 4 + 9 + 7 + 52 = 666.

It is a super-2 number, since 2×6930956749752² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6930956749753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321328024 + ... + 321349592.

It is an arithmetic number, because the mean of its divisors is an integer number (58482309600).

Almost surely, 2^{6930956749752} is an apocalyptic number.

6930956749752 is a gapful number since it is divisible by the number (62) 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 6930956749752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11228603443200).

6930956749752 is an abundant number, since it is smaller than the sum of its proper divisors (15526250136648).

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

6930956749752 is a wasteful number, since it uses less digits than its factorization.

6930956749752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21907 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 72.

The spelling of 6930956749752 in words is "six trillion, nine hundred thirty billion, nine hundred fifty-six million, seven hundred forty-nine thousand, seven hundred fifty-two".