4731227504640 has 3072 divisors, whose sum is σ = 22291043443200. Its totient is φ = 941755465728.

The previous prime is 4731227504611. The next prime is 4731227504669. The reversal of 4731227504640 is 464057221374.

4731227504640 is a `hidden beast` number, since 4 + 7 + 312 + 275 + 0 + 4 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4731227504611) and next prime (4731227504669).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64811335644 + ... + 64811335716.

Almost surely, 2^{4731227504640} is an apocalyptic number.

4731227504640 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 4731227504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145521721600).

4731227504640 is an abundant number, since it is smaller than the sum of its proper divisors (17559815938560).

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

4731227504640 is a wasteful number, since it uses less digits than its factorization.

4731227504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4731227504640 in words is "four trillion, seven hundred thirty-one billion, two hundred twenty-seven million, five hundred four thousand, six hundred forty".