35940005640 has 768 divisors, whose sum is σ = 152373312000. Its totient is φ = 7375104000.

The previous prime is 35940005639. The next prime is 35940005687. The reversal of 35940005640 is 4650004953.

It is a happy number.

35940005640 is a `hidden beast` number, since 3 + 5 + 9 + 4 + 0 + 0 + 0 + 5 + 640 = 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 = 35940005595 and 35940005604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92390566 + ... + 92390954.

It is an arithmetic number, because the mean of its divisors is an integer number (198402750).

Almost surely, 2^35940005640 is an apocalyptic number.

35940005640 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 35940005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76186656000).

35940005640 is an abundant number, since it is smaller than the sum of its proper divisors (116433306360).

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

35940005640 is a wasteful number, since it uses less digits than its factorization.

35940005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 35940005640 in words is "thirty-five billion, nine hundred forty million, five thousand, six hundred forty".