46391279760 has 240 divisors, whose sum is σ = 179356484736. Its totient is φ = 10526164992.

The previous prime is 46391279689. The next prime is 46391279813. The reversal of 46391279760 is 6797219364.

It is a happy number.

46391279760 is a `hidden beast` number, since 463 + 91 + 2 + 7 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 46391279697 and 46391279706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656887 + ... + 724073.

Almost surely, 2^46391279760 is an apocalyptic number.

46391279760 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 46391279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89678242368).

46391279760 is an abundant number, since it is smaller than the sum of its proper divisors (132965204976).

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

46391279760 is a wasteful number, since it uses less digits than its factorization.

46391279760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67350 (or 67341 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 46391279760 in words is "forty-six billion, three hundred ninety-one million, two hundred seventy-nine thousand, seven hundred sixty".