47607537600000 has 2160 divisors, whose sum is σ = 201934468335600. Its totient is φ = 10764472320000.

The previous prime is 47607537599989. The next prime is 47607537600011. The reversal of 47607537600000 is 673570674.

47607537600000 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 7 + 5 + 37 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47607537599989) and next prime (47607537600011).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 76910399691 + ... + 76910400309.

It is an arithmetic number, because the mean of its divisors is an integer number (93488179785).

Almost surely, 2^{47607537600000} is an apocalyptic number.

47607537600000 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 47607537600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100967234167800).

47607537600000 is an abundant number, since it is smaller than the sum of its proper divisors (154326930735600).

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

47607537600000 is an equidigital number, since it uses as much as digits as its factorization.

47607537600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 47607537600000 in words is "forty-seven trillion, six hundred seven billion, five hundred thirty-seven million, six hundred thousand".