35068073040 has 1280 divisors, whose sum is σ = 165989376000. Its totient is φ = 6706022400.

The previous prime is 35068072997. The next prime is 35068073041. The reversal of 35068073040 is 4037086053.

It is a happy number.

35068073040 is a `hidden beast` number, since 3 + 506 + 80 + 7 + 30 + 40 = 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 = 35068072986 and 35068073004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35068073041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 105945675 + ... + 105946005.

It is an arithmetic number, because the mean of its divisors is an integer number (129679200).

Almost surely, 2^35068073040 is an apocalyptic number.

35068073040 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 35068073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994688000).

35068073040 is an abundant number, since it is smaller than the sum of its proper divisors (130921302960).

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

35068073040 is a wasteful number, since it uses less digits than its factorization.

35068073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 35068073040 in words is "thirty-five billion, sixty-eight million, seventy-three thousand, forty".