73545714000 has 480 divisors, whose sum is σ = 287824792320. Its totient is φ = 17345664000.

The previous prime is 73545713981. The next prime is 73545714001. The reversal of 73545714000 is 41754537.

It is a happy number.

73545714000 is a `hidden beast` number, since 7 + 3 + 545 + 71 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73545714001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7320981 + ... + 7331019.

It is an arithmetic number, because the mean of its divisors is an integer number (599634984).

Almost surely, 2^73545714000 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 73545714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143912396160).

73545714000 is an abundant number, since it is smaller than the sum of its proper divisors (214279078320).

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

73545714000 is a wasteful number, since it uses less digits than its factorization.

73545714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 73545714000 in words is "seventy-three billion, five hundred forty-five million, seven hundred fourteen thousand".