6472961703936 has 2700 divisors, whose sum is σ = 26468417162880. Its totient is φ = 1565133373440.

The previous prime is 6472961703869. The next prime is 6472961703959. The reversal of 6472961703936 is 6393071692746.

6472961703936 is a `hidden beast` number, since 6 + 4 + 7 + 2 + 9 + 617 + 0 + 3 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 208805216241 + ... + 208805216271.

Almost surely, 2^{6472961703936} 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 6472961703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234208581440).

6472961703936 is an abundant number, since it is smaller than the sum of its proper divisors (19995455458944).

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

6472961703936 is a wasteful number, since it uses less digits than its factorization.

6472961703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 6472961703936 in words is "six trillion, four hundred seventy-two billion, nine hundred sixty-one million, seven hundred three thousand, nine hundred thirty-six".