4917672648 has 192 divisors, whose sum is σ = 15842736000. Its totient is φ = 1399928832.

The previous prime is 4917672647. The next prime is 4917672653. The reversal of 4917672648 is 8462767194.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4917672594 and 4917672603.

It is not an unprimeable number, because it can be changed into a prime (4917672647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5293048 + ... + 5293976.

It is an arithmetic number, because the mean of its divisors is an integer number (82514250).

Almost surely, 2^4917672648 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 4917672648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921368000).

4917672648 is an abundant number, since it is smaller than the sum of its proper divisors (10925063352).

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

4917672648 is a wasteful number, since it uses less digits than its factorization.

4917672648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 4917672648 is about 70126.1195846455. The cubic root of 4917672648 is about 1700.5387736368.

The spelling of 4917672648 in words is "four billion, nine hundred seventeen million, six hundred seventy-two thousand, six hundred forty-eight".