4756126781952 has 1200 divisors, whose sum is σ = 18444982070592. Its totient is φ = 1188003594240.

The previous prime is 4756126781909. The next prime is 4756126781993. The reversal of 4756126781952 is 2591876216574.

It is a happy number.

4756126781952 is a `hidden beast` number, since 4 + 7 + 5 + 612 + 6 + 7 + 8 + 1 + 9 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4756126781952.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1362394927 + ... + 1362398417.

Almost surely, 2^{4756126781952} is an apocalyptic number.

4756126781952 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 4756126781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222491035296).

4756126781952 is an abundant number, since it is smaller than the sum of its proper divisors (13688855288640).

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

4756126781952 is a wasteful number, since it uses less digits than its factorization.

4756126781952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3535 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 4756126781952 in words is "four trillion, seven hundred fifty-six billion, one hundred twenty-six million, seven hundred eighty-one thousand, nine hundred fifty-two".