46721940480 has 792 divisors, whose sum is σ = 181624545648. Its totient is φ = 11476795392.

The previous prime is 46721940469. The next prime is 46721940487. The reversal of 46721940480 is 8404912764.

46721940480 is a `hidden beast` number, since 4 + 67 + 21 + 94 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46721940487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 994083817 + ... + 994083863.

Almost surely, 2^46721940480 is an apocalyptic number.

46721940480 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 46721940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90812272824).

46721940480 is an abundant number, since it is smaller than the sum of its proper divisors (134902605168).

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

46721940480 is an equidigital number, since it uses as much as digits as its factorization.

46721940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 46721940480 in words is "forty-six billion, seven hundred twenty-one million, nine hundred forty thousand, four hundred eighty".