147680041600 has 432 divisors, whose sum is σ = 459615624570. Its totient is φ = 46729912320.

The previous prime is 147680041567. The next prime is 147680041601. The reversal of 147680041600 is 6140086741.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 25454287936 + 122225753664 = 159544^2 + 349608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 147680041600.

It is not an unprimeable number, because it can be changed into a prime (147680041601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 26496414 + ... + 26501986.

Almost surely, 2^147680041600 is an apocalyptic number.

147680041600 is a gapful number since it is divisible by the number (10) 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 147680041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229807812285).

147680041600 is an abundant number, since it is smaller than the sum of its proper divisors (311935582970).

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

147680041600 is a wasteful number, since it uses less digits than its factorization.

147680041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 147680041600 in words is "one hundred forty-seven billion, six hundred eighty million, forty-one thousand, six hundred".