10935746640 has 720 divisors, whose sum is σ = 46812325248. Its totient is φ = 2238492672.

The previous prime is 10935746639. The next prime is 10935746669. The reversal of 10935746640 is 4664753901.

10935746640 is a `hidden beast` number, since 10 + 9 + 3 + 574 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31514947 + ... + 31515293.

Almost surely, 2^10935746640 is an apocalyptic number.

10935746640 is a gapful number since it is divisible by the number (10) 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 10935746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23406162624).

10935746640 is an abundant number, since it is smaller than the sum of its proper divisors (35876578608).

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

10935746640 is a wasteful number, since it uses less digits than its factorization.

10935746640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10935746640 in words is "ten billion, nine hundred thirty-five million, seven hundred forty-six thousand, six hundred forty".