75454994630400 has 1296 divisors, whose sum is σ = 324549363761280. Its totient is φ = 15255126835200.

The previous prime is 75454994630371. The next prime is 75454994630417. The reversal of 75454994630400 is 403649945457.

75454994630400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382807071 + ... + 383004129.

Almost surely, 2^{75454994630400} is an apocalyptic number.

75454994630400 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 75454994630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162274681880640).

75454994630400 is an abundant number, since it is smaller than the sum of its proper divisors (249094369130880).

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

75454994630400 is a wasteful number, since it uses less digits than its factorization.

75454994630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197150 (or 197124 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 75454994630400 in words is "seventy-five trillion, four hundred fifty-four billion, nine hundred ninety-four million, six hundred thirty thousand, four hundred".