46924468067680 has 768 divisors, whose sum is σ = 133562287466496. Its totient is φ = 15250389073920.

The previous prime is 46924468067677. The next prime is 46924468067681. The reversal of 46924468067680 is 8676086442964.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46924468067681) 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 127 ways as a sum of consecutive naturals, for example, 42931809214 + ... + 42931810306.

It is an arithmetic number, because the mean of its divisors is an integer number (173909228472).

Almost surely, 2^{46924468067680} is an apocalyptic number.

46924468067680 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 46924468067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781143733248).

46924468067680 is an abundant number, since it is smaller than the sum of its proper divisors (86637819398816).

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

46924468067680 is a wasteful number, since it uses less digits than its factorization.

46924468067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 70.

The spelling of 46924468067680 in words is "forty-six trillion, nine hundred twenty-four billion, four hundred sixty-eight million, sixty-seven thousand, six hundred eighty".