10037004076700 has 72 divisors (see below), whose sum is σ = 21894573126384. Its totient is φ = 3993756480000.

The previous prime is 10037004076699. The next prime is 10037004076703. The reversal of 10037004076700 is 767040073001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037004076703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42017600 + ... + 42255800.

It is an arithmetic number, because the mean of its divisors is an integer number (304091293422).

Almost surely, 2^{10037004076700} is an apocalyptic number.

10037004076700 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 10037004076700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10947286563192).

10037004076700 is an abundant number, since it is smaller than the sum of its proper divisors (11857569049684).

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

10037004076700 is a wasteful number, since it uses less digits than its factorization.

10037004076700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240423 (or 240416 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The spelling of 10037004076700 in words is "ten trillion, thirty-seven billion, four million, seventy-six thousand, seven hundred".