46525479840 has 336 divisors, whose sum is σ = 188345340288. Its totient is φ = 10634208768.

The previous prime is 46525479779. The next prime is 46525479853. The reversal of 46525479840 is 4897452564.

46525479840 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 547 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 55 ways as a sum of consecutive naturals, for example, 787989 + ... + 844971.

It is an arithmetic number, because the mean of its divisors is an integer number (560551608).

Almost surely, 2^46525479840 is an apocalyptic number.

46525479840 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 46525479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94172670144).

46525479840 is an abundant number, since it is smaller than the sum of its proper divisors (141819860448).

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

46525479840 is an equidigital number, since it uses as much as digits as its factorization.

46525479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57023 (or 57000 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 46525479840 in words is "forty-six billion, five hundred twenty-five million, four hundred seventy-nine thousand, eight hundred forty".