1064292006960 has 1920 divisors, whose sum is σ = 4844689920000. Its totient is φ = 213711353856.

The previous prime is 1064292006931. The next prime is 1064292006971. The reversal of 1064292006960 is 696002924601.

1064292006960 is a `hidden beast` number, since 10 + 6 + 429 + 200 + 6 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×1064292006960² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5348200941 + ... + 5348201139.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276000).

Almost surely, 2^{1064292006960} is an apocalyptic number.

1064292006960 is a gapful number since it is divisible by the number (10) 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 1064292006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422344960000).

1064292006960 is an abundant number, since it is smaller than the sum of its proper divisors (3780397913040).

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

1064292006960 is a wasteful number, since it uses less digits than its factorization.

1064292006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1064292006960 in words is "one trillion, sixty-four billion, two hundred ninety-two million, six thousand, nine hundred sixty".