46957778784 has 432 divisors, whose sum is σ = 162062462016. Its totient is φ = 13335840000.

The previous prime is 46957778783. The next prime is 46957778789. The reversal of 46957778784 is 48787775964.

46957778784 is a `hidden beast` number, since 46 + 9 + 577 + 7 + 8 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46957778783) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95636779 + ... + 95637269.

It is an arithmetic number, because the mean of its divisors is an integer number (375144588).

Almost surely, 2^46957778784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46957778784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81031231008).

46957778784 is an abundant number, since it is smaller than the sum of its proper divisors (115104683232).

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

46957778784 is a wasteful number, since it uses less digits than its factorization.

46957778784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 754 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

It can be divided in two parts, 4695777 and 8784, that added together give a square (4704561 = 2169²).

The spelling of 46957778784 in words is "forty-six billion, nine hundred fifty-seven million, seven hundred seventy-eight thousand, seven hundred eighty-four".