6964365045456 has 300 divisors, whose sum is σ = 24944799493152. Its totient is φ = 1836755212032.

The previous prime is 6964365045431. The next prime is 6964365045457. The reversal of 6964365045456 is 6545405634696.

6964365045456 is a `hidden beast` number, since 6 + 9 + 6 + 4 + 36 + 50 + 4 + 545 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6964365045393 and 6964365045402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6964365045457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 738066 + ... + 3804401.

Almost surely, 2^{6964365045456} 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 6964365045456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472399746576).

6964365045456 is an abundant number, since it is smaller than the sum of its proper divisors (17980434447696).

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

6964365045456 is a wasteful number, since it uses less digits than its factorization.

6964365045456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542520 (or 4542492 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 63.

The spelling of 6964365045456 in words is "six trillion, nine hundred sixty-four billion, three hundred sixty-five million, forty-five thousand, four hundred fifty-six".