46719340560 has 240 divisors, whose sum is σ = 161686437120. Its totient is φ = 12080655360.

The previous prime is 46719340541. The next prime is 46719340573. The reversal of 46719340560 is 6504391764.

46719340560 is a `hidden beast` number, since 46 + 7 + 1 + 9 + 3 + 40 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×46719340560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8282221 + ... + 8287859.

It is an arithmetic number, because the mean of its divisors is an integer number (673693488).

Almost surely, 2^46719340560 is an apocalyptic number.

46719340560 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 46719340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80843218560).

46719340560 is an abundant number, since it is smaller than the sum of its proper divisors (114967096560).

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

46719340560 is a wasteful number, since it uses less digits than its factorization.

46719340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 46719340560 in words is "forty-six billion, seven hundred nineteen million, three hundred forty thousand, five hundred sixty".