46774506240 has 1728 divisors, whose sum is σ = 220116234240. Its totient is φ = 9405849600.

The previous prime is 46774506193. The next prime is 46774506257. The reversal of 46774506240 is 4260547764.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1508855025 + ... + 1508855055.

It is an arithmetic number, because the mean of its divisors is an integer number (127382080).

Almost surely, 2^46774506240 is an apocalyptic number.

46774506240 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 46774506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110058117120).

46774506240 is an abundant number, since it is smaller than the sum of its proper divisors (173341728000).

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

46774506240 is an equidigital number, since it uses as much as digits as its factorization.

46774506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 46774506240 in words is "forty-six billion, seven hundred seventy-four million, five hundred six thousand, two hundred forty".