10067819040 has 72 divisors (see below), whose sum is σ = 34356437388. Its totient is φ = 2684751360.

The previous prime is 10067819039. The next prime is 10067819051. The reversal of 10067819040 is 4091876001.

It can be written as a sum of positive squares in 2 ways, for example, as 9989602704 + 78216336 = 99948^2 + 8844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 10067818986 and 10067819004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3494331 + ... + 3497210.

Almost surely, 2^10067819040 is an apocalyptic number.

10067819040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10067819040 is an abundant number, since it is smaller than the sum of its proper divisors (24288618348).

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

10067819040 is a wasteful number, since it uses less digits than its factorization.

10067819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991562 (or 6991551 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10067819040 in words is "ten billion, sixty-seven million, eight hundred nineteen thousand, forty".