10464736700 has 72 divisors (see below), whose sum is σ = 25142807424. Its totient is φ = 3748536000.

The previous prime is 10464736693. The next prime is 10464736703. The reversal of 10464736700 is 763746401.

It is a super-3 number, since 3×10464736700³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464736703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2705 + ... + 144695.

Almost surely, 2^10464736700 is an apocalyptic number.

10464736700 is a gapful number since it is divisible by the number (10) 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 10464736700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571403712).

10464736700 is an abundant number, since it is smaller than the sum of its proper divisors (14678070724).

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

10464736700 is a wasteful number, since it uses less digits than its factorization.

10464736700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142083 (or 142076 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 10464736700 in words is "ten billion, four hundred sixty-four million, seven hundred thirty-six thousand, seven hundred".