46875235680 has 1536 divisors, whose sum is σ = 214592716800. Its totient is φ = 9294372864.

The previous prime is 46875235663. The next prime is 46875235691. The reversal of 46875235680 is 8653257864.

46875235680 is a `hidden beast` number, since 4 + 6 + 8 + 75 + 2 + 3 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 794495491 + ... + 794495549.

It is an arithmetic number, because the mean of its divisors is an integer number (139708800).

Almost surely, 2^46875235680 is an apocalyptic number.

46875235680 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 46875235680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107296358400).

46875235680 is an abundant number, since it is smaller than the sum of its proper divisors (167717481120).

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

46875235680 is a wasteful number, since it uses less digits than its factorization.

46875235680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 46875235680 in words is "forty-six billion, eight hundred seventy-five million, two hundred thirty-five thousand, six hundred eighty".