4763954587392 has 3456 divisors, whose sum is σ = 21045259468800. Its totient is φ = 1040914022400.

The previous prime is 4763954587391. The next prime is 4763954587417. The reversal of 4763954587392 is 2937854593674.

It is a happy number.

4763954587392 is a `hidden beast` number, since 4 + 7 + 6 + 3 + 9 + 5 + 4 + 587 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1371686400) is a multiple of the sum of its prime factors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 4763954587392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4763954587391) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28526674093 + ... + 28526674259.

It is an arithmetic number, because the mean of its divisors is an integer number (6089484800).

Almost surely, 2^{4763954587392} is an apocalyptic number.

4763954587392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4763954587392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10522629734400).

4763954587392 is an abundant number, since it is smaller than the sum of its proper divisors (16281304881408).

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

4763954587392 is a wasteful number, since it uses less digits than its factorization.

4763954587392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 4763954587392 in words is "four trillion, seven hundred sixty-three billion, nine hundred fifty-four million, five hundred eighty-seven thousand, three hundred ninety-two".