10073688768 has 560 divisors, whose sum is σ = 35688812544. Its totient is φ = 2769500160.

The previous prime is 10073688763. The next prime is 10073688769. The reversal of 10073688768 is 86788637001.

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 (10073688763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79320321 + ... + 79320447.

Almost surely, 2^10073688768 is an apocalyptic number.

10073688768 is a gapful number since it is divisible by the number (18) 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 10073688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844406272).

10073688768 is an abundant number, since it is smaller than the sum of its proper divisors (25615123776).

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

10073688768 is a wasteful number, since it uses less digits than its factorization.

10073688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10073688768 in words is "ten billion, seventy-three million, six hundred eighty-eight thousand, seven hundred sixty-eight".