10067664724992 has 528 divisors, whose sum is σ = 34759850224320. Its totient is φ = 2870135783424.

The previous prime is 10067664724987. The next prime is 10067664725021. The reversal of 10067664724992 is 29942746676001.

It is a happy number.

10067664724992 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 76 + 6 + 4 + 72 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632661228 + ... + 632677140.

Almost surely, 2^{10067664724992} is an apocalyptic number.

10067664724992 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 10067664724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379925112160).

10067664724992 is an abundant number, since it is smaller than the sum of its proper divisors (24692185499328).

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

10067664724992 is a wasteful number, since it uses less digits than its factorization.

10067664724992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16423 (or 16392 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 10067664724992 in words is "ten trillion, sixty-seven billion, six hundred sixty-four million, seven hundred twenty-four thousand, nine hundred ninety-two".