35070272640 has 192 divisors, whose sum is σ = 130417854840. Its totient is φ = 8632664064.

The previous prime is 35070272617. The next prime is 35070272651. The reversal of 35070272640 is 4627207053.

It is a happy number.

35070272640 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 0 + 2 + 7 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15833692224 + 19236580416 = 125832^2 + 138696^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 35070272595 and 35070272604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159297 + ... + 309056.

Almost surely, 2^35070272640 is an apocalyptic number.

35070272640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35070272640 is an abundant number, since it is smaller than the sum of its proper divisors (95347582200).

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

35070272640 is a wasteful number, since it uses less digits than its factorization.

35070272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468391 (or 468376 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 35070272640 its reverse (4627207053), we get a palindrome (39697479693).

The spelling of 35070272640 in words is "thirty-five billion, seventy million, two hundred seventy-two thousand, six hundred forty".