6972475780608 has 640 divisors, whose sum is σ = 21749567938560. Its totient is φ = 1967245885440.

The previous prime is 6972475780591. The next prime is 6972475780619. The reversal of 6972475780608 is 8060875742796.

It is a super-2 number, since 2×6972475780608² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1551850810 + ... + 1551855302.

It is an arithmetic number, because the mean of its divisors is an integer number (33983699904).

Almost surely, 2^{6972475780608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972475780608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10874783969280).

6972475780608 is an abundant number, since it is smaller than the sum of its proper divisors (14777092157952).

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

6972475780608 is a wasteful number, since it uses less digits than its factorization.

6972475780608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 6972475780608 in words is "six trillion, nine hundred seventy-two billion, four hundred seventy-five million, seven hundred eighty thousand, six hundred eight".