35164247040 has 704 divisors, whose sum is σ = 142620549120. Its totient is φ = 8139571200.

The previous prime is 35164247021. The next prime is 35164247101. The reversal of 35164247040 is 4074246153.

35164247040 is a `hidden beast` number, since 3 + 5 + 1 + 642 + 4 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35164246986 and 35164247004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30550465 + ... + 30551615.

Almost surely, 2^35164247040 is an apocalyptic number.

35164247040 is a gapful number since it is divisible by the number (30) 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 35164247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71310274560).

35164247040 is an abundant number, since it is smaller than the sum of its proper divisors (107456302080).

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

35164247040 is a wasteful number, since it uses less digits than its factorization.

35164247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 35164247040 in words is "thirty-five billion, one hundred sixty-four million, two hundred forty-seven thousand, forty".