1207463727360 has 288 divisors, whose sum is σ = 4454381538432. Its totient is φ = 275499581440.

The previous prime is 1207463727331. The next prime is 1207463727361. The reversal of 1207463727360 is 637273647021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1207463727361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122679 + ... + 1558838.

It is an arithmetic number, because the mean of its divisors is an integer number (15466602564).

Almost surely, 2^{1207463727360} is an apocalyptic number.

1207463727360 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 1207463727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227190769216).

1207463727360 is an abundant number, since it is smaller than the sum of its proper divisors (3246917811072).

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

1207463727360 is a wasteful number, since it uses less digits than its factorization.

1207463727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681569 (or 1681555 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 1207463727360 in words is "one trillion, two hundred seven billion, four hundred sixty-three million, seven hundred twenty-seven thousand, three hundred sixty".