731620657152 has 1440 divisors, whose sum is σ = 2834263111680. Its totient is φ = 183936614400.

The previous prime is 731620657127. The next prime is 731620657211. The reversal of 731620657152 is 251756026137.

It is a happy number.

731620657152 is a `hidden beast` number, since 7 + 3 + 1 + 6 + 20 + 6 + 571 + 52 = 666.

It is a super-2 number, since 2×731620657152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 731620657098 and 731620657107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5760792513 + ... + 5760792639.

It is an arithmetic number, because the mean of its divisors is an integer number (1968238272).

Almost surely, 2^731620657152 is an apocalyptic number.

731620657152 is a gapful number since it is divisible by the number (72) 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 731620657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417131555840).

731620657152 is an abundant number, since it is smaller than the sum of its proper divisors (2102642454528).

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

731620657152 is a wasteful number, since it uses less digits than its factorization.

731620657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 731620657152 in words is "seven hundred thirty-one billion, six hundred twenty million, six hundred fifty-seven thousand, one hundred fifty-two".