752671213980 has 1152 divisors, whose sum is σ = 2779951104000. Its totient is φ = 151033559040.

The previous prime is 752671213897. The next prime is 752671214041. The reversal of 752671213980 is 89312176257.

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 383 ways as a sum of consecutive naturals, for example, 5414900751 + ... + 5414900889.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152000).

Almost surely, 2^752671213980 is an apocalyptic number.

752671213980 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 752671213980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389975552000).

752671213980 is an abundant number, since it is smaller than the sum of its proper divisors (2027279890020).

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

752671213980 is a wasteful number, since it uses less digits than its factorization.

752671213980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 752671213980 in words is "seven hundred fifty-two billion, six hundred seventy-one million, two hundred thirteen thousand, nine hundred eighty".