117427476660480 has 2880 divisors, whose sum is σ = 523392984576000. Its totient is φ = 25072232693760.

The previous prime is 117427476660469. The next prime is 117427476660491. The reversal of 117427476660480 is 84066674724711.

It is an interprime number because it is at equal distance from previous prime (117427476660469) and next prime (117427476660491).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31970451924 + ... + 31970455596.

It is an arithmetic number, because the mean of its divisors is an integer number (181733675200).

Almost surely, 2^{117427476660480} is an apocalyptic number.

117427476660480 is a gapful number since it is divisible by the number (10) 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 117427476660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261696492288000).

117427476660480 is an abundant number, since it is smaller than the sum of its proper divisors (405965507915520).

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

117427476660480 is an equidigital number, since it uses as much as digits as its factorization.

117427476660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 117427476660480 in words is "one hundred seventeen trillion, four hundred twenty-seven billion, four hundred seventy-six million, six hundred sixty thousand, four hundred eighty".