46477564560 has 320 divisors, whose sum is σ = 189270028800. Its totient is φ = 10257020928.

The previous prime is 46477564543. The next prime is 46477564583. The reversal of 46477564560 is 6546577464.

46477564560 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 75 + 6 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46477564497 and 46477564506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385482 + ... + 491478.

It is an arithmetic number, because the mean of its divisors is an integer number (591468840).

Almost surely, 2^46477564560 is an apocalyptic number.

46477564560 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 46477564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94635014400).

46477564560 is an abundant number, since it is smaller than the sum of its proper divisors (142792464240).

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

46477564560 is a wasteful number, since it uses less digits than its factorization.

46477564560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106055 (or 106043 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 46477564560 in words is "forty-six billion, four hundred seventy-seven million, five hundred sixty-four thousand, five hundred sixty".