1001006713872 has 640 divisors, whose sum is σ = 3415281408000. Its totient is φ = 277437726720.

The previous prime is 1001006713871. The next prime is 1001006713873. The reversal of 1001006713872 is 2783176001001.

1001006713872 is a `hidden beast` number, since 100 + 100 + 6 + 71 + 387 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1001006713871) and next prime (1001006713873).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1001006713871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345530728 + ... + 345533624.

It is an arithmetic number, because the mean of its divisors is an integer number (5336377200).

Almost surely, 2^{1001006713872} is an apocalyptic number.

1001006713872 is a gapful number since it is divisible by the number (12) 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 1001006713872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707640704000).

1001006713872 is an abundant number, since it is smaller than the sum of its proper divisors (2414274694128).

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

1001006713872 is a wasteful number, since it uses less digits than its factorization.

1001006713872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 1001006713872 in words is "one trillion, one billion, six million, seven hundred thirteen thousand, eight hundred seventy-two".