35754046064 has 80 divisors (see below), whose sum is σ = 78055941600. Its totient is φ = 15855065600.

The previous prime is 35754046057. The next prime is 35754046087. The reversal of 35754046064 is 46064045753.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852662 + ... + 893610.

It is an arithmetic number, because the mean of its divisors is an integer number (975699270).

Almost surely, 2^35754046064 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 35754046064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39027970800).

35754046064 is an abundant number, since it is smaller than the sum of its proper divisors (42301895536).

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

35754046064 is a wasteful number, since it uses less digits than its factorization.

35754046064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41031 (or 41003 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 35754046064 in words is "thirty-five billion, seven hundred fifty-four million, forty-six thousand, sixty-four".