6966240960 has 448 divisors, whose sum is σ = 26984309760. Its totient is φ = 1491517440.

The previous prime is 6966240923. The next prime is 6966240973. The reversal of 6966240960 is 690426696.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6966240960² = 97057026225563443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 33015255 + ... + 33015465.

Almost surely, 2^6966240960 is an apocalyptic number.

6966240960 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 6966240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13492154880).

6966240960 is an abundant number, since it is smaller than the sum of its proper divisors (20018068800).

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

6966240960 is a wasteful number, since it uses less digits than its factorization.

6966240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 6966240960 is about 83464.0099683690. The cubic root of 6966240960 is about 1909.8510487537.

The spelling of 6966240960 in words is "six billion, nine hundred sixty-six million, two hundred forty thousand, nine hundred sixty".