1006998312960 has 576 divisors, whose sum is σ = 3706970248800. Its totient is φ = 251944501248.

The previous prime is 1006998312949. The next prime is 1006998312961. The reversal of 1006998312960 is 692138996001.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1006998312960² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1006998312897 and 1006998312906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006998312961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621987031 + ... + 621988649.

Almost surely, 2^{1006998312960} is an apocalyptic number.

1006998312960 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 1006998312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853485124400).

1006998312960 is an abundant number, since it is smaller than the sum of its proper divisors (2699971935840).

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

1006998312960 is a wasteful number, since it uses less digits than its factorization.

1006998312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1006998312960 in words is "one trillion, six billion, nine hundred ninety-eight million, three hundred twelve thousand, nine hundred sixty".