73625037696 has 512 divisors, whose sum is σ = 269893632000. Its totient is φ = 19281991680.

The previous prime is 73625037683. The next prime is 73625037713. The reversal of 73625037696 is 69673052637.

73625037696 is a `hidden beast` number, since 7 + 3 + 62 + 503 + 76 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14246505 + ... + 14251671.

It is an arithmetic number, because the mean of its divisors is an integer number (527136000).

Almost surely, 2^73625037696 is an apocalyptic number.

73625037696 is a gapful number since it is divisible by the number (76) 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 73625037696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134946816000).

73625037696 is an abundant number, since it is smaller than the sum of its proper divisors (196268594304).

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

73625037696 is a wasteful number, since it uses less digits than its factorization.

73625037696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 73625037696 in words is "seventy-three billion, six hundred twenty-five million, thirty-seven thousand, six hundred ninety-six".