46719461880 has 1152 divisors, whose sum is σ = 207189964800. Its totient is φ = 9238634496.

The previous prime is 46719461879. The next prime is 46719461881. The reversal of 46719461880 is 8816491764.

46719461880 is a `hidden beast` number, since 4 + 6 + 7 + 19 + 4 + 618 + 8 + 0 = 666.

46719461880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46719461879) and next prime (46719461881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46719461881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 195478801 + ... + 195479039.

It is an arithmetic number, because the mean of its divisors is an integer number (179852400).

Almost surely, 2^46719461880 is an apocalyptic number.

46719461880 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 46719461880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103594982400).

46719461880 is an abundant number, since it is smaller than the sum of its proper divisors (160470502920).

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

46719461880 is a wasteful number, since it uses less digits than its factorization.

46719461880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 46719461880 in words is "forty-six billion, seven hundred nineteen million, four hundred sixty-one thousand, eight hundred eighty".