10365692064 has 576 divisors, whose sum is σ = 36921225600. Its totient is φ = 2529386496.

The previous prime is 10365692027. The next prime is 10365692087. The reversal of 10365692064 is 46029656301.

10365692064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175689667 + ... + 175689725.

It is an arithmetic number, because the mean of its divisors is an integer number (64099350).

Almost surely, 2^10365692064 is an apocalyptic number.

10365692064 is a gapful number since it is divisible by the number (14) 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 10365692064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460612800).

10365692064 is an abundant number, since it is smaller than the sum of its proper divisors (26555533536).

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

10365692064 is a wasteful number, since it uses less digits than its factorization.

10365692064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 10365692064 in words is "ten billion, three hundred sixty-five million, six hundred ninety-two thousand, sixty-four".