4957345000 has 80 divisors (see below), whose sum is σ = 11701457460. Its totient is φ = 1968192000.

The previous prime is 4957344979. The next prime is 4957345033. The reversal of 4957345000 is 5437594.

It can be written as a sum of positive squares in 10 ways, for example, as 122367844 + 4834977156 = 11062^2 + 69534^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 681382 + ... + 688618.

Almost surely, 2^4957345000 is an apocalyptic number.

4957345000 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 4957345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850728730).

4957345000 is an abundant number, since it is smaller than the sum of its proper divisors (6744112460).

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

4957345000 is a wasteful number, since it uses less digits than its factorization.

4957345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 4957345000 is about 70408.4156901716. The cubic root of 4957345000 is about 1705.0994515480.

The spelling of 4957345000 in words is "four billion, nine hundred fifty-seven million, three hundred forty-five thousand".