35472866688 has 192 divisors, whose sum is σ = 118067040000. Its totient is φ = 10012806144.

The previous prime is 35472866683. The next prime is 35472866707. The reversal of 35472866688 is 88666827453.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35472866683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642813 + ... + 695811.

It is an arithmetic number, because the mean of its divisors is an integer number (614932500).

Almost surely, 2^35472866688 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 35472866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59033520000).

35472866688 is an abundant number, since it is smaller than the sum of its proper divisors (82594173312).

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

35472866688 is a wasteful number, since it uses less digits than its factorization.

35472866688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53109 (or 53094 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 35472866688 in words is "thirty-five billion, four hundred seventy-two million, eight hundred sixty-six thousand, six hundred eighty-eight".