46782634752 has 540 divisors, whose sum is σ = 166378317336. Its totient is φ = 13028843520.

The previous prime is 46782634751. The next prime is 46782634771. The reversal of 46782634752 is 25743628764.

46782634752 is a `hidden beast` number, since 46 + 78 + 2 + 63 + 475 + 2 = 666.

It is a super-2 number, since 2×46782634752² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (13547520) is a multiple of the sum of its prime divisors (1176).

It is not an unprimeable number, because it can be changed into a prime (46782634751) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41658063 + ... + 41659185.

Almost surely, 2^46782634752 is an apocalyptic number.

46782634752 is a gapful number since it is divisible by the number (42) 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 46782634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83189158668).

46782634752 is an abundant number, since it is smaller than the sum of its proper divisors (119595682584).

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

46782634752 is a wasteful number, since it uses less digits than its factorization.

46782634752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1176 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 46782634752 in words is "forty-six billion, seven hundred eighty-two million, six hundred thirty-four thousand, seven hundred fifty-two".