737412999966720 has 7488 divisors, whose sum is σ = 3619166747728896. Its totient is φ = 141905425858560.

The previous prime is 737412999966691. The next prime is 737412999966767. The reversal of 737412999966720 is 27669999214737.

737412999966720 is a `hidden beast` number, since 7 + 3 + 7 + 412 + 9 + 99 + 96 + 6 + 7 + 20 = 666.

It is a super-2 number, since 2×737412999966720² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 737412999966720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4696898088882 + ... + 4696898089038.

It is an arithmetic number, because the mean of its divisors is an integer number (483328892592).

Almost surely, 2^{737412999966720} is an apocalyptic number.

737412999966720 is a gapful number since it is divisible by the number (70) 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 737412999966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809583373864448).

737412999966720 is an abundant number, since it is smaller than the sum of its proper divisors (2881753747762176).

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

737412999966720 is a wasteful number, since it uses less digits than its factorization.

737412999966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3888730944, while the sum is 81.

The spelling of 737412999966720 in words is "seven hundred thirty-seven trillion, four hundred twelve billion, nine hundred ninety-nine million, nine hundred sixty-six thousand, seven hundred twenty".