4975687464 has 192 divisors, whose sum is σ = 14065228800. Its totient is φ = 1465242240.

The previous prime is 4975687447. The next prime is 4975687487. The reversal of 4975687464 is 4647865794.

It is a junction number, because it is equal to n+sod(n) for n = 4975687398 and 4975687407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20818657 + ... + 20818895.

It is an arithmetic number, because the mean of its divisors is an integer number (73256400).

Almost surely, 2^4975687464 is an apocalyptic number.

4975687464 is a gapful number since it is divisible by the number (44) 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 4975687464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

4975687464 is an abundant number, since it is smaller than the sum of its proper divisors (9089541336).

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

4975687464 is a wasteful number, since it uses less digits than its factorization.

4975687464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The square root of 4975687464 is about 70538.5530330755. The cubic root of 4975687464 is about 1707.1998520920.

The spelling of 4975687464 in words is "four billion, nine hundred seventy-five million, six hundred eighty-seven thousand, four hundred sixty-four".