147763365842880 has 1680 divisors, whose sum is σ = 590676215899968. Its totient is φ = 34915708108800.

The previous prime is 147763365842861. The next prime is 147763365842887. The reversal of 147763365842880 is 88248563367741.

147763365842880 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 6 + 3 + 36 + 584 + 2 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×147763365842880³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 147763365842799 and 147763365842808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147763365842887) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15667831765 + ... + 15667841195.

Almost surely, 2^{147763365842880} is an apocalyptic number.

147763365842880 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 147763365842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295338107949984).

147763365842880 is an abundant number, since it is smaller than the sum of its proper divisors (442912850057088).

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

147763365842880 is a wasteful number, since it uses less digits than its factorization.

147763365842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 147763365842880 in words is "one hundred forty-seven trillion, seven hundred sixty-three billion, three hundred sixty-five million, eight hundred forty-two thousand, eight hundred eighty".