10126964736 has 768 divisors, whose sum is σ = 38683008000. Its totient is φ = 2579890176.

The previous prime is 10126964693. The next prime is 10126964747. The reversal of 10126964736 is 63746962101.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 10126964691 and 10126964700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532998135 + ... + 532998153.

It is an arithmetic number, because the mean of its divisors is an integer number (50368500).

Almost surely, 2^10126964736 is an apocalyptic number.

10126964736 is a gapful number since it is divisible by the number (16) 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 10126964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19341504000).

10126964736 is an abundant number, since it is smaller than the sum of its proper divisors (28556043264).

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

10126964736 is an frugal number, since it uses more digits than its factorization.

10126964736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10126964736 in words is "ten billion, one hundred twenty-six million, nine hundred sixty-four thousand, seven hundred thirty-six".