752326214640 has 1280 divisors, whose sum is σ = 3373704069120. Its totient is φ = 133493391360.

The previous prime is 752326214611. The next prime is 752326214641. The reversal of 752326214640 is 46412623257.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 752326214592 and 752326214601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752326214641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 196274164 + ... + 196277996.

It is an arithmetic number, because the mean of its divisors is an integer number (2635706304).

Almost surely, 2^752326214640 is an apocalyptic number.

752326214640 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 752326214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686852034560).

752326214640 is an abundant number, since it is smaller than the sum of its proper divisors (2621377854480).

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

752326214640 is a wasteful number, since it uses less digits than its factorization.

752326214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 752326214640 its reverse (46412623257), we get a palindrome (798738837897).

The spelling of 752326214640 in words is "seven hundred fifty-two billion, three hundred twenty-six million, two hundred fourteen thousand, six hundred forty".