46782552960 has 1152 divisors, whose sum is σ = 202842675360. Its totient is φ = 9814671360.

The previous prime is 46782552907. The next prime is 46782553001. The reversal of 46782552960 is 6925528764.

46782552960 is a `hidden beast` number, since 4 + 6 + 7 + 82 + 552 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×46782552960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46782552897 and 46782552906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182033152 + ... + 182033408.

Almost surely, 2^46782552960 is an apocalyptic number.

46782552960 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 46782552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101421337680).

46782552960 is an abundant number, since it is smaller than the sum of its proper divisors (156060122400).

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

46782552960 is a wasteful number, since it uses less digits than its factorization.

46782552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 46782552960 in words is "forty-six billion, seven hundred eighty-two million, five hundred fifty-two thousand, nine hundred sixty".