755489760480 has 1344 divisors, whose sum is σ = 3328897461120. Its totient is φ = 157695787008.

The previous prime is 755489760461. The next prime is 755489760503. The reversal of 755489760480 is 84067984557.

755489760480 is a `hidden beast` number, since 7 + 5 + 5 + 4 + 8 + 97 + 60 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1156951834 + ... + 1156952486.

It is an arithmetic number, because the mean of its divisors is an integer number (2476858230).

Almost surely, 2^755489760480 is an apocalyptic number.

755489760480 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 755489760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664448730560).

755489760480 is an abundant number, since it is smaller than the sum of its proper divisors (2573407700640).

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

755489760480 is a wasteful number, since it uses less digits than its factorization.

755489760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 755489760480 in words is "seven hundred fifty-five billion, four hundred eighty-nine million, seven hundred sixty thousand, four hundred eighty".