73975356000 has 1440 divisors, whose sum is σ = 337748419008. Its totient is φ = 15527116800.

The previous prime is 73975355999. The next prime is 73975356053. The reversal of 73975356000 is 65357937.

73975356000 is a `hidden beast` number, since 7 + 3 + 9 + 7 + 5 + 35 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 383291904 + ... + 383292096.

Almost surely, 2^73975356000 is an apocalyptic number.

73975356000 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 73975356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168874209504).

73975356000 is an abundant number, since it is smaller than the sum of its proper divisors (263773063008).

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

73975356000 is a wasteful number, since it uses less digits than its factorization.

73975356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The spelling of 73975356000 in words is "seventy-three billion, nine hundred seventy-five million, three hundred fifty-six thousand".