35642871264 has 432 divisors, whose sum is σ = 128861110224. Its totient is φ = 8543969280.

The previous prime is 35642871263. The next prime is 35642871281. The reversal of 35642871264 is 46217824653.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35642871263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7396984 + ... + 7401800.

It is an arithmetic number, because the mean of its divisors is an integer number (298289607).

Almost surely, 2^35642871264 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 35642871264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64430555112).

35642871264 is an abundant number, since it is smaller than the sum of its proper divisors (93218238960).

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

35642871264 is a wasteful number, since it uses less digits than its factorization.

35642871264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879 (or 4853 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 35642871264 in words is "thirty-five billion, six hundred forty-two million, eight hundred seventy-one thousand, two hundred sixty-four".