47564126640 has 200 divisors, whose sum is σ = 169040045328. Its totient is φ = 12388723200.

The previous prime is 47564126639. The next prime is 47564126663. The reversal of 47564126640 is 4662146574.

47564126640 is a `hidden beast` number, since 4 + 7 + 564 + 1 + 26 + 64 + 0 = 666.

It is a super-2 number, since 2×47564126640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 193290 + ... + 363990.

Almost surely, 2^47564126640 is an apocalyptic number.

47564126640 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 47564126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84520022664).

47564126640 is an abundant number, since it is smaller than the sum of its proper divisors (121475918688).

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

47564126640 is a wasteful number, since it uses less digits than its factorization.

47564126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170769 (or 170754 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 47564126640 in words is "forty-seven billion, five hundred sixty-four million, one hundred twenty-six thousand, six hundred forty".