46742424960 has 1152 divisors, whose sum is σ = 199525317120. Its totient is φ = 9199411200.

The previous prime is 46742424959. The next prime is 46742424979. The reversal of 46742424960 is 6942424764.

It is a super-2 number, since 2×46742424960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 994519657 + ... + 994519703.

It is an arithmetic number, because the mean of its divisors is an integer number (173199060).

Almost surely, 2^46742424960 is an apocalyptic number.

46742424960 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 46742424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99762658560).

46742424960 is an abundant number, since it is smaller than the sum of its proper divisors (152782892160).

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

46742424960 is a wasteful number, since it uses less digits than its factorization.

46742424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 46742424960 in words is "forty-six billion, seven hundred forty-two million, four hundred twenty-four thousand, nine hundred sixty".