352477716480 has 672 divisors, whose sum is σ = 1290078679680. Its totient is φ = 91287060480.

The previous prime is 352477716473. The next prime is 352477716523. The reversal of 352477716480 is 84617774253.

352477716480 is a `hidden beast` number, since 3 + 5 + 2 + 477 + 7 + 164 + 8 + 0 = 666.

It is a super-2 number, since 2×352477716480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4964474845 + ... + 4964474915.

It is an arithmetic number, because the mean of its divisors is an integer number (1919759940).

Almost surely, 2^352477716480 is an apocalyptic number.

352477716480 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 352477716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645039339840).

352477716480 is an abundant number, since it is smaller than the sum of its proper divisors (937600963200).

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

352477716480 is an frugal number, since it uses more digits than its factorization.

352477716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 352477716480 in words is "three hundred fifty-two billion, four hundred seventy-seven million, seven hundred sixteen thousand, four hundred eighty".