73752773400 has 192 divisors, whose sum is σ = 260903911200. Its totient is φ = 19135802880.

The previous prime is 73752773389. The next prime is 73752773431. The reversal of 73752773400 is 437725737.

73752773400 is a `hidden beast` number, since 7 + 37 + 5 + 277 + 340 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15234 + ... + 384366.

Almost surely, 2^73752773400 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 73752773400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130451955600).

73752773400 is an abundant number, since it is smaller than the sum of its proper divisors (187151137800).

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

73752773400 is a wasteful number, since it uses less digits than its factorization.

73752773400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369195 (or 369180 counting only the distinct ones).

The product of its (nonzero) digits is 864360, while the sum is 45.

The spelling of 73752773400 in words is "seventy-three billion, seven hundred fifty-two million, seven hundred seventy-three thousand, four hundred".