35478940273920 has 2592 divisors, whose sum is σ = 154745852212224. Its totient is φ = 7675173273600.

The previous prime is 35478940273919. The next prime is 35478940273993. The reversal of 35478940273920 is 2937204987453.

35478940273920 is a `hidden beast` number, since 3 + 5 + 4 + 78 + 9 + 402 + 73 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37228688164 + ... + 37228689116.

It is an arithmetic number, because the mean of its divisors is an integer number (59701331872).

Almost surely, 2^{35478940273920} is an apocalyptic number.

35478940273920 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 35478940273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77372926106112).

35478940273920 is an abundant number, since it is smaller than the sum of its proper divisors (119266911938304).

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

35478940273920 is an equidigital number, since it uses as much as digits as its factorization.

35478940273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 35478940273920 in words is "thirty-five trillion, four hundred seventy-eight billion, nine hundred forty million, two hundred seventy-three thousand, nine hundred twenty".