4660761235200 has 432 divisors, whose sum is σ = 18612896198400. Its totient is φ = 1002650664960.

The previous prime is 4660761235171. The next prime is 4660761235211. The reversal of 4660761235200 is 25321670664.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264851 + ... + 3304749.

Almost surely, 2^{4660761235200} is an apocalyptic number.

4660761235200 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 4660761235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306448099200).

4660761235200 is an abundant number, since it is smaller than the sum of its proper divisors (13952134963200).

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

4660761235200 is a wasteful number, since it uses less digits than its factorization.

4660761235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039952 (or 2039933 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 4660761235200 in words is "four trillion, six hundred sixty billion, seven hundred sixty-one million, two hundred thirty-five thousand, two hundred".