35727356672 has 216 divisors, whose sum is σ = 88331705280. Its totient is φ = 14330265600.

The previous prime is 35727356641. The next prime is 35727356681. The reversal of 35727356672 is 27665372753.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50965922 + ... + 50966622.

It is an arithmetic number, because the mean of its divisors is an integer number (408943080).

Almost surely, 2^35727356672 is an apocalyptic number.

35727356672 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 35727356672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44165852640).

35727356672 is an abundant number, since it is smaller than the sum of its proper divisors (52604348608).

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

35727356672 is a wasteful number, since it uses less digits than its factorization.

35727356672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 966 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 53.

The spelling of 35727356672 in words is "thirty-five billion, seven hundred twenty-seven million, three hundred fifty-six thousand, six hundred seventy-two".