46755825480 has 1280 divisors, whose sum is σ = 208932192000. Its totient is φ = 9217732608.

The previous prime is 46755825469. The next prime is 46755825481. The reversal of 46755825480 is 8452855764.

46755825480 is a `hidden beast` number, since 4 + 6 + 7 + 5 + 582 + 54 + 8 + 0 = 666.

46755825480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46755825480² (a number of 22 digits) contains 22 as substring.

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 (46755825481) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 640490724 + ... + 640490796.

It is an arithmetic number, because the mean of its divisors is an integer number (163228275).

Almost surely, 2^46755825480 is an apocalyptic number.

46755825480 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 46755825480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104466096000).

46755825480 is an abundant number, since it is smaller than the sum of its proper divisors (162176366520).

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

46755825480 is a wasteful number, since it uses less digits than its factorization.

46755825480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 46755825480 in words is "forty-six billion, seven hundred fifty-five million, eight hundred twenty-five thousand, four hundred eighty".