4916377000 has 64 divisors (see below), whose sum is σ = 11618465040. Its totient is φ = 1947040000.

The previous prime is 4916376991. The next prime is 4916377001. The reversal of 4916377000 is 7736194.

It can be written as a sum of positive squares in 8 ways, for example, as 1127482084 + 3788894916 = 33578^2 + 61554^2 .

It is a super-2 number, since 2×4916377000² = 48341525612258000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4916377001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76662 + ... + 125338.

Almost surely, 2^4916377000 is an apocalyptic number.

4916377000 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 4916377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809232520).

4916377000 is an abundant number, since it is smaller than the sum of its proper divisors (6702088040).

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

4916377000 is a wasteful number, since it uses less digits than its factorization.

4916377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48799 (or 48785 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 4916377000 is about 70116.8809916699. The cubic root of 4916377000 is about 1700.3894148278.

The spelling of 4916377000 in words is "four billion, nine hundred sixteen million, three hundred seventy-seven thousand".