4761299065600 has 864 divisors, whose sum is σ = 15254563645440. Its totient is φ = 1427693568000.

The previous prime is 4761299065577. The next prime is 4761299065603. The reversal of 4761299065600 is 65609921674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (4761299065603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6159506814 + ... + 6159507586.

It is an arithmetic number, because the mean of its divisors is an integer number (17655744960).

Almost surely, 2^{4761299065600} is an apocalyptic number.

4761299065600 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 4761299065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627281822720).

4761299065600 is an abundant number, since it is smaller than the sum of its proper divisors (10493264579840).

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

4761299065600 is a wasteful number, since it uses less digits than its factorization.

4761299065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 4761299065600 in words is "four trillion, seven hundred sixty-one billion, two hundred ninety-nine million, sixty-five thousand, six hundred".