4690761600 has 576 divisors, whose sum is σ = 18507565440. Its totient is φ = 1022730240.

The previous prime is 4690761587. The next prime is 4690761659. The reversal of 4690761600 is 61670964.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56515159 + ... + 56515241.

It is an arithmetic number, because the mean of its divisors is an integer number (32131190).

Almost surely, 2^4690761600 is an apocalyptic number.

4690761600 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 4690761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253782720).

4690761600 is an abundant number, since it is smaller than the sum of its proper divisors (13816803840).

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

4690761600 is a wasteful number, since it uses less digits than its factorization.

4690761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 4690761600 is about 68489.1349047424. The cubic root of 4690761600 is about 1673.9704492128.

The spelling of 4690761600 in words is "four billion, six hundred ninety million, seven hundred sixty-one thousand, six hundred".