75763938000 has 640 divisors, whose sum is σ = 263920250880. Its totient is φ = 18662400000.

The previous prime is 75763937989. The next prime is 75763938001. The reversal of 75763938000 is 83936757.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75763938001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 695081946 + ... + 695082054.

It is an arithmetic number, because the mean of its divisors is an integer number (412375392).

Almost surely, 2^75763938000 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 75763938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131960125440).

75763938000 is an abundant number, since it is smaller than the sum of its proper divisors (188156312880).

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

75763938000 is a wasteful number, since it uses less digits than its factorization.

75763938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 75763938000 in words is "seventy-five billion, seven hundred sixty-three million, nine hundred thirty-eight thousand".