6872947952640 has 704 divisors, whose sum is σ = 27793349296128. Its totient is φ = 1408013107200.

The previous prime is 6872947952623. The next prime is 6872947952653. The reversal of 6872947952640 is 462597492786.

It is a tau number, because it is divible by the number of its divisors (704).

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, 83932197 + ... + 84014043.

Almost surely, 2^{6872947952640} is an apocalyptic number.

6872947952640 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 6872947952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896674648064).

6872947952640 is an abundant number, since it is smaller than the sum of its proper divisors (20920401343488).

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

6872947952640 is a wasteful number, since it uses less digits than its factorization.

6872947952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81964 (or 81946 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 6872947952640 in words is "six trillion, eight hundred seventy-two billion, nine hundred forty-seven million, nine hundred fifty-two thousand, six hundred forty".