737521981680 has 320 divisors, whose sum is σ = 2515413431808. Its totient is φ = 177275105280.

The previous prime is 737521981631. The next prime is 737521981709. The reversal of 737521981680 is 86189125737.

It is a happy number.

It is a Cunningham number, because it is equal to 858791²-1.

It is a super-2 number, since 2×737521981680² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 737521981680.

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 63 ways as a sum of consecutive naturals, for example, 226718934 + ... + 226722186.

Almost surely, 2^737521981680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 737521981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257706715904).

737521981680 is an abundant number, since it is smaller than the sum of its proper divisors (1777891450128).

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

737521981680 is a wasteful number, since it uses less digits than its factorization.

With its successor (737521981681) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3984).

737521981680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 737521981680 in words is "seven hundred thirty-seven billion, five hundred twenty-one million, nine hundred eighty-one thousand, six hundred eighty".