738560049131520 has 6240 divisors, whose sum is σ = 3549393481125888. Its totient is φ = 142467268608000.

The previous prime is 738560049131507. The next prime is 738560049131543. The reversal of 738560049131520 is 25131940065837.

It is a happy number.

738560049131520 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 60 + 0 + 49 + 13 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10402254213085 + ... + 10402254213155.

It is a 1-persistent number, because it is pandigital, but 2⋅738560049131520 = 1477120098263040 is not.

Almost surely, 2^{738560049131520} is an apocalyptic number.

738560049131520 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 738560049131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774696740562944).

738560049131520 is an abundant number, since it is smaller than the sum of its proper divisors (2810833431994368).

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

738560049131520 is a wasteful number, since it uses less digits than its factorization.

738560049131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 738560049131520 in words is "seven hundred thirty-eight trillion, five hundred sixty billion, forty-nine million, one hundred thirty-one thousand, five hundred twenty".