10006364979072 has 1920 divisors, whose sum is σ = 38938272172800. Its totient is φ = 2503837163520.

The previous prime is 10006364979071. The next prime is 10006364979073. The reversal of 10006364979072 is 27097946360001.

It is a happy number.

10006364979072 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 63 + 6 + 497 + 90 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10006364979071) and next prime (10006364979073).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006364979071) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 137073492828 + ... + 137073492900.

It is an arithmetic number, because the mean of its divisors is an integer number (20280350090).

Almost surely, 2^{10006364979072} is an apocalyptic number.

10006364979072 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 10006364979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19469136086400).

10006364979072 is an abundant number, since it is smaller than the sum of its proper divisors (28931907193728).

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

10006364979072 is an frugal number, since it uses more digits than its factorization.

10006364979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 10006364979072 in words is "ten trillion, six billion, three hundred sixty-four million, nine hundred seventy-nine thousand, seventy-two".