4332761072640 has 4224 divisors, whose sum is σ = 21630783283200. Its totient is φ = 819354009600.

The previous prime is 4332761072639. The next prime is 4332761072657. The reversal of 4332761072640 is 462701672334.

4332761072640 is a `hidden beast` number, since 4 + 3 + 3 + 2 + 7 + 610 + 7 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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 383 ways as a sum of consecutive naturals, for example, 61024803805 + ... + 61024803875.

Almost surely, 2^{4332761072640} is an apocalyptic number.

4332761072640 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 4332761072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10815391641600).

4332761072640 is an abundant number, since it is smaller than the sum of its proper divisors (17298022210560).

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

4332761072640 is a wasteful number, since it uses less digits than its factorization.

4332761072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 4332761072640 in words is "four trillion, three hundred thirty-two billion, seven hundred sixty-one million, seventy-two thousand, six hundred forty".