4032556738560 has 768 divisors, whose sum is σ = 16947403200000. Its totient is φ = 889931169792.

The previous prime is 4032556738477. The next prime is 4032556738579. The reversal of 4032556738560 is 658376552304.

4032556738560 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 5 + 5 + 6 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4032556738497 and 4032556738506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56089516 + ... + 56161364.

It is an arithmetic number, because the mean of its divisors is an integer number (22066931250).

Almost surely, 2^{4032556738560} is an apocalyptic number.

4032556738560 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 4032556738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473701600000).

4032556738560 is an abundant number, since it is smaller than the sum of its proper divisors (12914846461440).

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

4032556738560 is a wasteful number, since it uses less digits than its factorization.

4032556738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71921 (or 71895 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 4032556738560 in words is "four trillion, thirty-two billion, five hundred fifty-six million, seven hundred thirty-eight thousand, five hundred sixty".