5077674000 has 960 divisors, whose sum is σ = 22493203200. Its totient is φ = 1088640000.

The previous prime is 5077673929. The next prime is 5077674011. The reversal of 5077674000 is 4767705.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50273950 + ... + 50274050.

It is an arithmetic number, because the mean of its divisors is an integer number (23430420).

Almost surely, 2^5077674000 is an apocalyptic number.

5077674000 is a gapful number since it is divisible by the number (50) 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 5077674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11246601600).

5077674000 is an abundant number, since it is smaller than the sum of its proper divisors (17415529200).

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

5077674000 is a wasteful number, since it uses less digits than its factorization.

5077674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5077674000 is about 71257.7995730994. The cubic root of 5077674000 is about 1718.7851977365.

The spelling of 5077674000 in words is "five billion, seventy-seven million, six hundred seventy-four thousand".