46726986240 has 960 divisors, whose sum is σ = 188610428160. Its totient is φ = 10948608000.

The previous prime is 46726986209. The next prime is 46726986347. The reversal of 46726986240 is 4268962764.

46726986240 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 6 + 9 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×46726986240² (a number of 22 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 309450165 + ... + 309450315.

It is an arithmetic number, because the mean of its divisors is an integer number (196469196).

Almost surely, 2^46726986240 is an apocalyptic number.

46726986240 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 46726986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94305214080).

46726986240 is an abundant number, since it is smaller than the sum of its proper divisors (141883441920).

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

46726986240 is a wasteful number, since it uses less digits than its factorization.

46726986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 46726986240 in words is "forty-six billion, seven hundred twenty-six million, nine hundred eighty-six thousand, two hundred forty".