75752478720 has 768 divisors, whose sum is σ = 290405606400. Its totient is φ = 18662031360.

The previous prime is 75752478707. The next prime is 75752478727. The reversal of 75752478720 is 2787425757.

75752478720 is a `hidden beast` number, since 7 + 57 + 52 + 478 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75752478727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333711247 + ... + 333711473.

It is an arithmetic number, because the mean of its divisors is an integer number (378132300).

Almost surely, 2^75752478720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75752478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145202803200).

75752478720 is an abundant number, since it is smaller than the sum of its proper divisors (214653127680).

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

75752478720 is a wasteful number, since it uses less digits than its factorization.

75752478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 7683200, while the sum is 54.

The spelling of 75752478720 in words is "seventy-five billion, seven hundred fifty-two million, four hundred seventy-eight thousand, seven hundred twenty".