35036640540 has 288 divisors, whose sum is σ = 118163275776. Its totient is φ = 8332139520.

The previous prime is 35036640533. The next prime is 35036640563. The reversal of 35036640540 is 4504663053.

35036640540 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 6 + 640 + 5 + 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 = 35036640495 and 35036640504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32231877 + ... + 32232963.

It is an arithmetic number, because the mean of its divisors is an integer number (410289152).

Almost surely, 2^35036640540 is an apocalyptic number.

35036640540 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 35036640540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59081637888).

35036640540 is an abundant number, since it is smaller than the sum of its proper divisors (83126635236).

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

35036640540 is a wasteful number, since it uses less digits than its factorization.

35036640540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 35036 and 640540, that added together give a palindrome (675576).

The spelling of 35036640540 in words is "thirty-five billion, thirty-six million, six hundred forty thousand, five hundred forty".