35722596672 has 560 divisors, whose sum is σ = 129938434560. Its totient is φ = 9471541248.

The previous prime is 35722596653. The next prime is 35722596677. The reversal of 35722596672 is 27669522753.

35722596672 is a `hidden beast` number, since 3 + 572 + 2 + 5 + 9 + 6 + 67 + 2 = 666.

It is a super-2 number, since 2×35722596672² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35722596677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48734418 + ... + 48735150.

Almost surely, 2^35722596672 is an apocalyptic number.

35722596672 is a gapful number since it is divisible by the number (32) 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 35722596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64969217280).

35722596672 is an abundant number, since it is smaller than the sum of its proper divisors (94215837888).

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

35722596672 is a wasteful number, since it uses less digits than its factorization.

35722596672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 841 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 35722596672 in words is "thirty-five billion, seven hundred twenty-two million, five hundred ninety-six thousand, six hundred seventy-two".