35076025494468 has 576 divisors, whose sum is σ = 112324083056640. Its totient is φ = 8998365302784.

The previous prime is 35076025494431. The next prime is 35076025494481. The reversal of 35076025494468 is 86449452067053.

35076025494468 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 60 + 25 + 4 + 94 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6621863596 + ... + 6621868892.

It is an arithmetic number, because the mean of its divisors is an integer number (195007088640).

Almost surely, 2^{35076025494468} is an apocalyptic number.

35076025494468 is a gapful number since it is divisible by the number (38) 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 35076025494468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56162041528320).

35076025494468 is an abundant number, since it is smaller than the sum of its proper divisors (77248057562172).

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

35076025494468 is a wasteful number, since it uses less digits than its factorization.

35076025494468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 35076025494468 in words is "thirty-five trillion, seventy-six billion, twenty-five million, four hundred ninety-four thousand, four hundred sixty-eight".