4762145607936 has 144 divisors (see below), whose sum is σ = 13112660951040. Its totient is φ = 1532704942080.

The previous prime is 4762145607803. The next prime is 4762145607953. The reversal of 4762145607936 is 6397065412674.

It is a self number, because there is not a number n which added to its sum of digits gives 4762145607936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10321185 + ... + 10772703.

Almost surely, 2^{4762145607936} 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 4762145607936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556330475520).

4762145607936 is an abundant number, since it is smaller than the sum of its proper divisors (8350515343104).

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

4762145607936 is a wasteful number, since it uses less digits than its factorization.

4762145607936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452012 (or 451998 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 4762145607936 in words is "four trillion, seven hundred sixty-two billion, one hundred forty-five million, six hundred seven thousand, nine hundred thirty-six".