35672864867640 has 6144 divisors, whose sum is σ = 181943193600000. Its totient is φ = 6107845201920.

The previous prime is 35672864867609. The next prime is 35672864867669. The reversal of 35672864867640 is 4676846827653.

It is a happy number.

35672864867640 is a `hidden beast` number, since 3 + 5 + 6 + 7 + 2 + 86 + 486 + 7 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 532430818887 + ... + 532430818953.

It is an arithmetic number, because the mean of its divisors is an integer number (29613150000).

Almost surely, 2^{35672864867640} is an apocalyptic number.

35672864867640 is a gapful number since it is divisible by the number (30) 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 35672864867640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90971596800000).

35672864867640 is an abundant number, since it is smaller than the sum of its proper divisors (146270328732360).

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

35672864867640 is a wasteful number, since it uses less digits than its factorization.

35672864867640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 35672864867640 in words is "thirty-five trillion, six hundred seventy-two billion, eight hundred sixty-four million, eight hundred sixty-seven thousand, six hundred forty".