4762090561536 has 2688 divisors, whose sum is σ = 19873496448000. Its totient is φ = 1082067517440.

The previous prime is 4762090561531. The next prime is 4762090561549. The reversal of 4762090561536 is 6351650902674.

4762090561536 is a `hidden beast` number, since 4 + 7 + 6 + 20 + 9 + 0 + 561 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-3 number, since 3×4762090561536³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4762090561531) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89850765286 + ... + 89850765338.

Almost surely, 2^{4762090561536} 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 4762090561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936748224000).

4762090561536 is an abundant number, since it is smaller than the sum of its proper divisors (15111405886464).

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

4762090561536 is a wasteful number, since it uses less digits than its factorization.

4762090561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 4762090561536 in words is "four trillion, seven hundred sixty-two billion, ninety million, five hundred sixty-one thousand, five hundred thirty-six".