5097038768640 has 2880 divisors, whose sum is σ = 24206920657920. Its totient is φ = 978022563840.

The previous prime is 5097038768639. The next prime is 5097038768651. The reversal of 5097038768640 is 468678307905.

5097038768640 is a `hidden beast` number, since 50 + 97 + 0 + 387 + 6 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7734504631 + ... + 7734505289.

It is an arithmetic number, because the mean of its divisors is an integer number (8405180784).

Almost surely, 2^{5097038768640} 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 5097038768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103460328960).

5097038768640 is an abundant number, since it is smaller than the sum of its proper divisors (19109881889280).

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

5097038768640 is a wasteful number, since it uses less digits than its factorization.

5097038768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 5097038768640 in words is "five trillion, ninety-seven billion, thirty-eight million, seven hundred sixty-eight thousand, six hundred forty".