4761061600 has 72 divisors (see below), whose sum is σ = 11639489400. Its totient is φ = 1901713920.

The previous prime is 4761061567. The next prime is 4761061619. The reversal of 4761061600 is 61601674.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614551 + ... + 622249.

It is an arithmetic number, because the mean of its divisors is an integer number (161659575).

Almost surely, 2^4761061600 is an apocalyptic number.

4761061600 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 4761061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819744700).

4761061600 is an abundant number, since it is smaller than the sum of its proper divisors (6878427800).

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

4761061600 is a wasteful number, since it uses less digits than its factorization.

4761061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 8479 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 4761061600 is about 69000.4463753677. The cubic root of 4761061600 is about 1682.2915629267.

The spelling of 4761061600 in words is "four billion, seven hundred sixty-one million, sixty-one thousand, six hundred".