73625760000 has 1800 divisors, whose sum is σ = 324508873920. Its totient is φ = 16422912000.

The previous prime is 73625759993. The next prime is 73625760007. The reversal of 73625760000 is 6752637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73625759993) and next prime (73625760007).

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is not an unprimeable number, because it can be changed into a prime (73625760007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 3201119989 + ... + 3201120011.

Almost surely, 2^73625760000 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 73625760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162254436960).

73625760000 is an abundant number, since it is smaller than the sum of its proper divisors (250883113920).

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

73625760000 is a wasteful number, since it uses less digits than its factorization.

73625760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 73625760000 in words is "seventy-three billion, six hundred twenty-five million, seven hundred sixty thousand".