46778083560 has 384 divisors, whose sum is σ = 173035699200. Its totient is φ = 10872576000.

The previous prime is 46778083559. The next prime is 46778083567. The reversal of 46778083560 is 6538087764.

46778083560 is a `hidden beast` number, since 4 + 6 + 7 + 78 + 0 + 8 + 3 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46778083497 and 46778083506.

It is not an unprimeable number, because it can be changed into a prime (46778083567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8500810 + ... + 8506310.

It is an arithmetic number, because the mean of its divisors is an integer number (450613800).

Almost surely, 2^46778083560 is an apocalyptic number.

46778083560 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 46778083560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86517849600).

46778083560 is an abundant number, since it is smaller than the sum of its proper divisors (126257615640).

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

46778083560 is a wasteful number, since it uses less digits than its factorization.

46778083560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 46778083560 in words is "forty-six billion, seven hundred seventy-eight million, eighty-three thousand, five hundred sixty".