6972711493440 has 2688 divisors, whose sum is σ = 30802141900800. Its totient is φ = 1317228380160.

The previous prime is 6972711493427. The next prime is 6972711493441. The reversal of 6972711493440 is 443941172796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972711493441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30716790607 + ... + 30716790833.

Almost surely, 2^{6972711493440} is an apocalyptic number.

6972711493440 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 6972711493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401070950400).

6972711493440 is an abundant number, since it is smaller than the sum of its proper divisors (23829430407360).

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

6972711493440 is a wasteful number, since it uses less digits than its factorization.

6972711493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 6972711493440 in words is "six trillion, nine hundred seventy-two billion, seven hundred eleven million, four hundred ninety-three thousand, four hundred forty".