46972210279680 has 1728 divisors, whose sum is σ = 203029711557120. Its totient is φ = 10234233225216.

The previous prime is 46972210279679. The next prime is 46972210279681. The reversal of 46972210279680 is 8697201227964.

46972210279680 is a `hidden beast` number, since 4 + 6 + 9 + 72 + 210 + 279 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (46972210279679) and next prime (46972210279681).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46972210279681) 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 191 ways as a sum of consecutive naturals, for example, 12191072634 + ... + 12191076486.

It is an arithmetic number, because the mean of its divisors is an integer number (117494046040).

Almost surely, 2^{46972210279680} is an apocalyptic number.

46972210279680 is a gapful number since it is divisible by the number (40) 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 46972210279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101514855778560).

46972210279680 is an abundant number, since it is smaller than the sum of its proper divisors (156057501277440).

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

46972210279680 is a wasteful number, since it uses less digits than its factorization.

46972210279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 46972210279680 in words is "forty-six trillion, nine hundred seventy-two billion, two hundred ten million, two hundred seventy-nine thousand, six hundred eighty".