10077033407 has 12 divisors (see below), whose sum is σ = 12411809280. Its totient is φ = 8129370816.

The previous prime is 10077033371. The next prime is 10077033437. The reversal of 10077033407 is 70433077001.

It is not a de Polignac number, because 10077033407 - 2¹² = 10077029311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077033437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6047807 + ... + 6049472.

It is an arithmetic number, because the mean of its divisors is an integer number (1034317440).

Almost surely, 2^10077033407 is an apocalyptic number.

10077033407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10077033407 is a deficient number, since it is larger than the sum of its proper divisors (2334775873).

10077033407 is a wasteful number, since it uses less digits than its factorization.

10077033407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12097310 (or 12097303 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 32.

The spelling of 10077033407 in words is "ten billion, seventy-seven million, thirty-three thousand, four hundred seven".