4736239632960 has 224 divisors, whose sum is σ = 16435997356032. Its totient is φ = 1145982597120.

The previous prime is 4736239632959. The next prime is 4736239632997. The reversal of 4736239632960 is 692369326374.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4736239632894 and 4736239632903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5094097 + ... + 5951663.

Almost surely, 2^{4736239632960} is an apocalyptic number.

4736239632960 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 4736239632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8217998678016).

4736239632960 is an abundant number, since it is smaller than the sum of its proper divisors (11699757723072).

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

4736239632960 is a wasteful number, since it uses less digits than its factorization.

4736239632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858121 (or 858111 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 60.

The spelling of 4736239632960 in words is "four trillion, seven hundred thirty-six billion, two hundred thirty-nine million, six hundred thirty-two thousand, nine hundred sixty".