75900642048000 has 4608 divisors, whose sum is σ = 362575343370240. Its totient is φ = 14810480640000.

The previous prime is 75900642047947. The next prime is 75900642048131. The reversal of 75900642048000 is 84024600957.

It is a happy number.

75900642048000 is a `hidden beast` number, since 7 + 5 + 90 + 0 + 64 + 20 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 203486975814 + ... + 203486976186.

It is an arithmetic number, because the mean of its divisors is an integer number (78683885280).

Almost surely, 2^{75900642048000} is an apocalyptic number.

75900642048000 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 75900642048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181287671685120).

75900642048000 is an abundant number, since it is smaller than the sum of its proper divisors (286674701322240).

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

75900642048000 is a wasteful number, since it uses less digits than its factorization.

75900642048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 75900642048000 its reverse (84024600957), we get a palindrome (75984666648957).

The spelling of 75900642048000 in words is "seventy-five trillion, nine hundred billion, six hundred forty-two million, forty-eight thousand".