46427921280 has 1024 divisors, whose sum is σ = 187536384000. Its totient is φ = 10776084480.

The previous prime is 46427921273. The next prime is 46427921327. The reversal of 46427921280 is 8212972464.

46427921280 is a `hidden beast` number, since 4 + 6 + 427 + 9 + 212 + 8 + 0 = 666.

46427921280 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-3 number, since 3×46427921280³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 410866504 + ... + 410866616.

It is an arithmetic number, because the mean of its divisors is an integer number (183141000).

Almost surely, 2^46427921280 is an apocalyptic number.

46427921280 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 46427921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93768192000).

46427921280 is an abundant number, since it is smaller than the sum of its proper divisors (141108462720).

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

46427921280 is a wasteful number, since it uses less digits than its factorization.

46427921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

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

The spelling of 46427921280 in words is "forty-six billion, four hundred twenty-seven million, nine hundred twenty-one thousand, two hundred eighty".