42720328633572 has 240 divisors, whose sum is σ = 124442291635200. Its totient is φ = 12727048561920.

The previous prime is 42720328633487. The next prime is 42720328633607. The reversal of 42720328633572 is 27533682302724.

42720328633572 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 0 + 3 + 2 + 8 + 63 + 3 + 572 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3510954 + ... + 9887742.

It is an arithmetic number, because the mean of its divisors is an integer number (518509548480).

Almost surely, 2^{42720328633572} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42720328633572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62221145817600).

42720328633572 is an abundant number, since it is smaller than the sum of its proper divisors (81721963001628).

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

42720328633572 is a wasteful number, since it uses less digits than its factorization.

42720328633572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376888 (or 6376877 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 42720328633572 in words is "forty-two trillion, seven hundred twenty billion, three hundred twenty-eight million, six hundred thirty-three thousand, five hundred seventy-two".