35740021868964 has 144 divisors (see below), whose sum is σ = 105455128117248. Its totient is φ = 9993280284864.

The previous prime is 35740021868891. The next prime is 35740021869007. The reversal of 35740021868964 is 46986812004753.

35740021868964 is a `hidden beast` number, since 3 + 5 + 7 + 400 + 218 + 6 + 8 + 9 + 6 + 4 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138955609 + ... + 139212575.

It is an arithmetic number, because the mean of its divisors is an integer number (732327278592).

It is a 1-persistent number, because it is pandigital, but 2⋅35740021868964 = 71480043737928 is not.

Almost surely, 2^{35740021868964} 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 35740021868964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52727564058624).

35740021868964 is an abundant number, since it is smaller than the sum of its proper divisors (69715106248284).

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

35740021868964 is a wasteful number, since it uses less digits than its factorization.

35740021868964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268774 (or 268769 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 35740021868964 in words is "thirty-five trillion, seven hundred forty billion, twenty-one million, eight hundred sixty-eight thousand, nine hundred sixty-four".