6940095601920 has 1152 divisors, whose sum is σ = 26627395866624. Its totient is φ = 1523103301632.

The previous prime is 6940095601889. The next prime is 6940095601927. The reversal of 6940095601920 is 291065900496.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6940095601927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2088501379 + ... + 2088504701.

It is an arithmetic number, because the mean of its divisors is an integer number (23114058912).

Almost surely, 2^{6940095601920} is an apocalyptic number.

6940095601920 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 6940095601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313697933312).

6940095601920 is an abundant number, since it is smaller than the sum of its proper divisors (19687300264704).

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

6940095601920 is a wasteful number, since it uses less digits than its factorization.

6940095601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 6940095601920 in words is "six trillion, nine hundred forty billion, ninety-five million, six hundred one thousand, nine hundred twenty".