10037863680 has 288 divisors, whose sum is σ = 34712810496. Its totient is φ = 2457403392.

The previous prime is 10037863669. The next prime is 10037863691. The reversal of 10037863680 is 8636873001.

It is an interprime number because it is at equal distance from previous prime (10037863669) and next prime (10037863691).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11630929 + ... + 11631791.

It is an arithmetic number, because the mean of its divisors is an integer number (120530592).

Almost surely, 2^10037863680 is an apocalyptic number.

10037863680 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 10037863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356405248).

10037863680 is an abundant number, since it is smaller than the sum of its proper divisors (24674946816).

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

10037863680 is a wasteful number, since it uses less digits than its factorization.

10037863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10037863680 in words is "ten billion, thirty-seven million, eight hundred sixty-three thousand, six hundred eighty".