10035962640 has 960 divisors, whose sum is σ = 41797324800. Its totient is φ = 2203407360.

The previous prime is 10035962609. The next prime is 10035962663. The reversal of 10035962640 is 4626953001.

It is a happy number.

10035962640 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 9 + 6 + 2 + 640 = 666.

It is a super-2 number, since 2×10035962640² (a number of 21 digits) contains 22 as substring.

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 = 10035962595 and 10035962604.

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, 213531097 + ... + 213531143.

It is an arithmetic number, because the mean of its divisors is an integer number (43538880).

Almost surely, 2^10035962640 is an apocalyptic number.

10035962640 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 10035962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20898662400).

10035962640 is an abundant number, since it is smaller than the sum of its proper divisors (31761362160).

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

10035962640 is a wasteful number, since it uses less digits than its factorization.

10035962640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10035962640 in words is "ten billion, thirty-five million, nine hundred sixty-two thousand, six hundred forty".