35666472902760 has 1280 divisors, whose sum is σ = 144391556136960. Its totient is φ = 7724449474560.

The previous prime is 35666472902701. The next prime is 35666472902761. The reversal of 35666472902760 is 6720927466653.

It is a super-3 number, since 3×35666472902760³ (a number of 42 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (35666472902761) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 30667645939 + ... + 30667647101.

It is an arithmetic number, because the mean of its divisors is an integer number (112805903232).

Almost surely, 2^{35666472902760} is an apocalyptic number.

35666472902760 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 35666472902760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72195778068480).

35666472902760 is an abundant number, since it is smaller than the sum of its proper divisors (108725083234200).

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

35666472902760 is a wasteful number, since it uses less digits than its factorization.

35666472902760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 35666472902760 in words is "thirty-five trillion, six hundred sixty-six billion, four hundred seventy-two million, nine hundred two thousand, seven hundred sixty".