4862676000 has 768 divisors, whose sum is σ = 20200707072. Its totient is φ = 995328000.

The previous prime is 4862675957. The next prime is 4862676037. The reversal of 4862676000 is 6762684.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4862676000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66611964 + ... + 66612036.

It is an arithmetic number, because the mean of its divisors is an integer number (26303004).

Almost surely, 2^4862676000 is an apocalyptic number.

4862676000 is a gapful number since it is divisible by the number (40) 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 4862676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100353536).

4862676000 is an abundant number, since it is smaller than the sum of its proper divisors (15338031072).

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

4862676000 is a wasteful number, since it uses less digits than its factorization.

4862676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4862676000 is about 69732.8903746288. The cubic root of 4862676000 is about 1694.1756853641.

The spelling of 4862676000 in words is "four billion, eight hundred sixty-two million, six hundred seventy-six thousand".