47357049600 has 1728 divisors, whose sum is σ = 218985984000. Its totient is φ = 9970974720.

The previous prime is 47357049587. The next prime is 47357049613. The reversal of 47357049600 is 694075374.

47357049600 is a `hidden beast` number, since 4 + 7 + 35 + 7 + 0 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (47357049587) and next prime (47357049613).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1007596777 + ... + 1007596823.

It is an arithmetic number, because the mean of its divisors is an integer number (126728000).

Almost surely, 2^47357049600 is an apocalyptic number.

47357049600 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 47357049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992000).

47357049600 is an abundant number, since it is smaller than the sum of its proper divisors (171628934400).

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

47357049600 is a wasteful number, since it uses less digits than its factorization.

47357049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 47357049600 in words is "forty-seven billion, three hundred fifty-seven million, forty-nine thousand, six hundred".