47612759040 has 1584 divisors, whose sum is σ = 220170472704. Its totient is φ = 9754214400.

The previous prime is 47612759023. The next prime is 47612759071. The reversal of 47612759040 is 4095721674.

47612759040 is a `hidden beast` number, since 4 + 7 + 6 + 12 + 7 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×47612759040² (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 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, 670602205 + ... + 670602275.

Almost surely, 2^47612759040 is an apocalyptic number.

47612759040 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 47612759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110085236352).

47612759040 is an abundant number, since it is smaller than the sum of its proper divisors (172557713664).

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

47612759040 is a wasteful number, since it uses less digits than its factorization.

47612759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47612759040 in words is "forty-seven billion, six hundred twelve million, seven hundred fifty-nine thousand, forty".