35599049640 has 640 divisors, whose sum is σ = 154022584320. Its totient is φ = 7157030400.

The previous prime is 35599049611. The next prime is 35599049653. The reversal of 35599049640 is 4694099553.

35599049640 is a `hidden beast` number, since 3 + 5 + 599 + 0 + 4 + 9 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7731579 + ... + 7736181.

It is an arithmetic number, because the mean of its divisors is an integer number (240660288).

Almost surely, 2^35599049640 is an apocalyptic number.

35599049640 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 35599049640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77011292160).

35599049640 is an abundant number, since it is smaller than the sum of its proper divisors (118423534680).

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

35599049640 is a wasteful number, since it uses less digits than its factorization.

35599049640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 35599049640 in words is "thirty-five billion, five hundred ninety-nine million, forty-nine thousand, six hundred forty".