6966752432640 has 3840 divisors, whose sum is σ = 33029038006272. Its totient is φ = 1206779904000.

The previous prime is 6966752432603. The next prime is 6966752432687. The reversal of 6966752432640 is 462342576696.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 169920791020 + ... + 169920791060.

Almost surely, 2^{6966752432640} is an apocalyptic number.

6966752432640 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 6966752432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514519003136).

6966752432640 is an abundant number, since it is smaller than the sum of its proper divisors (26062285573632).

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

6966752432640 is a wasteful number, since it uses less digits than its factorization.

6966752432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 60.

The spelling of 6966752432640 in words is "six trillion, nine hundred sixty-six billion, seven hundred fifty-two million, four hundred thirty-two thousand, six hundred forty".