6973497409536 has 648 divisors, whose sum is σ = 23583256691904. Its totient is φ = 1979826831360.

The previous prime is 6973497409499. The next prime is 6973497409537. The reversal of 6973497409536 is 6359047943796.

6973497409536 is a `hidden beast` number, since 6 + 9 + 7 + 3 + 49 + 7 + 40 + 9 + 536 = 666.

It is a super-2 number, since 2×6973497409536² (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 (6973497409537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12890013426 + ... + 12890013966.

It is an arithmetic number, because the mean of its divisors is an integer number (36393914648).

Almost surely, 2^{6973497409536} 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 6973497409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11791628345952).

6973497409536 is an abundant number, since it is smaller than the sum of its proper divisors (16609759282368).

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

6973497409536 is an equidigital number, since it uses as much as digits as its factorization.

6973497409536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 6973497409536 in words is "six trillion, nine hundred seventy-three billion, four hundred ninety-seven million, four hundred nine thousand, five hundred thirty-six".