4973507675136 has 3168 divisors, whose sum is σ = 21800640395520. Its totient is φ = 1086101913600.

The previous prime is 4973507675099. The next prime is 4973507675159. The reversal of 4973507675136 is 6315767053794.

4973507675136 is a `hidden beast` number, since 4 + 9 + 7 + 3 + 50 + 7 + 67 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

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, 160435731441 + ... + 160435731471.

Almost surely, 2^{4973507675136} 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 4973507675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900320197760).

4973507675136 is an abundant number, since it is smaller than the sum of its proper divisors (16827132720384).

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

4973507675136 is a wasteful number, since it uses less digits than its factorization.

4973507675136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 4973507675136 in words is "four trillion, nine hundred seventy-three billion, five hundred seven million, six hundred seventy-five thousand, one hundred thirty-six".