10037734006740 has 96 divisors (see below), whose sum is σ = 31180388037120. Its totient is φ = 2392146153600.

The previous prime is 10037734006739. The next prime is 10037734006747. The reversal of 10037734006740 is 4760043773001.

10037734006740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10037734006740² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10037734006692 and 10037734006701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037734006747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128848246 + ... + 128926125.

It is an arithmetic number, because the mean of its divisors is an integer number (324795708720).

Almost surely, 2^{10037734006740} is an apocalyptic number.

10037734006740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10037734006740 is an abundant number, since it is smaller than the sum of its proper divisors (21142654030380).

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

10037734006740 is a wasteful number, since it uses less digits than its factorization.

10037734006740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257774453 (or 257774451 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

Adding to 10037734006740 its reverse (4760043773001), we get a palindrome (14797777779741).

The spelling of 10037734006740 in words is "ten trillion, thirty-seven billion, seven hundred thirty-four million, six thousand, seven hundred forty".