10064391792 has 160 divisors (see below), whose sum is σ = 32066280960. Its totient is φ = 2648816640.

The previous prime is 10064391763. The next prime is 10064391809. The reversal of 10064391792 is 29719346001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2360959 + ... + 2365217.

It is an arithmetic number, because the mean of its divisors is an integer number (200414256).

Almost surely, 2^10064391792 is an apocalyptic number.

10064391792 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 10064391792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16033140480).

10064391792 is an abundant number, since it is smaller than the sum of its proper divisors (22001889168).

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

10064391792 is a wasteful number, since it uses less digits than its factorization.

10064391792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

It can be divided in two parts, 10064 and 391792, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 10064391792 in words is "ten billion, sixty-four million, three hundred ninety-one thousand, seven hundred ninety-two".