5038376663760 has 640 divisors, whose sum is σ = 17880047032320. Its totient is φ = 1172610109440.

The previous prime is 5038376663737. The next prime is 5038376663777. The reversal of 5038376663760 is 673666738305.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5038376663694 and 5038376663703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 810416172 + ... + 810422388.

It is an arithmetic number, because the mean of its divisors is an integer number (27937573488).

Almost surely, 2^{5038376663760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5038376663760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940023516160).

5038376663760 is an abundant number, since it is smaller than the sum of its proper divisors (12841670368560).

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

5038376663760 is a wasteful number, since it uses less digits than its factorization.

5038376663760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 60.

The spelling of 5038376663760 in words is "five trillion, thirty-eight billion, three hundred seventy-six million, six hundred sixty-three thousand, seven hundred sixty".