47143736640 has 2240 divisors, whose sum is σ = 237925416960. Its totient is φ = 8539914240.

The previous prime is 47143736621. The next prime is 47143736747. The reversal of 47143736640 is 4663734174.

It is a tau number, because it is divible by the number of its divisors (2240).

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 (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 596756121 + ... + 596756199.

It is an arithmetic number, because the mean of its divisors is an integer number (106216704).

Almost surely, 2^47143736640 is an apocalyptic number.

47143736640 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 47143736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118962708480).

47143736640 is an abundant number, since it is smaller than the sum of its proper divisors (190781680320).

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

47143736640 is a wasteful number, since it uses less digits than its factorization.

47143736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 47143736640 in words is "forty-seven billion, one hundred forty-three million, seven hundred thirty-six thousand, six hundred forty".