35264792803968 has 1536 divisors, whose sum is σ = 138131915980800. Its totient is φ = 8621371883520.

The previous prime is 35264792803859. The next prime is 35264792804009. The reversal of 35264792803968 is 86930829746253.

It is a happy number.

35264792803968 is a `hidden beast` number, since 3 + 526 + 4 + 7 + 9 + 2 + 8 + 0 + 3 + 96 + 8 = 666.

It is a super-2 number, since 2×35264792803968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 35264792803896 and 35264792803905.

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, 6089583153 + ... + 6089588943.

It is an arithmetic number, because the mean of its divisors is an integer number (89929632800).

Almost surely, 2^{35264792803968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35264792803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69065957990400).

35264792803968 is an abundant number, since it is smaller than the sum of its proper divisors (102867123176832).

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

35264792803968 is a wasteful number, since it uses less digits than its factorization.

35264792803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 35264792803968 in words is "thirty-five trillion, two hundred sixty-four billion, seven hundred ninety-two million, eight hundred three thousand, nine hundred sixty-eight".