10364125632 has 336 divisors, whose sum is σ = 33132845088. Its totient is φ = 2848849920.

The previous prime is 10364125631. The next prime is 10364125649. The reversal of 10364125632 is 23652146301.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×10364125632³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10364125593 and 10364125602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364125631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37415478 + ... + 37415754.

It is an arithmetic number, because the mean of its divisors is an integer number (98609658).

Almost surely, 2^10364125632 is an apocalyptic number.

10364125632 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 10364125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566422544).

10364125632 is an abundant number, since it is smaller than the sum of its proper divisors (22768719456).

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

10364125632 is a wasteful number, since it uses less digits than its factorization.

10364125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 10364125632 in words is "ten billion, three hundred sixty-four million, one hundred twenty-five thousand, six hundred thirty-two".