73770725901600 has 5184 divisors, whose sum is σ = 361723415219712. Its totient is φ = 13959364608000.

The previous prime is 73770725901547. The next prime is 73770725901619. The reversal of 73770725901600 is 610952707737.

73770725901600 is a `hidden beast` number, since 7 + 3 + 7 + 7 + 0 + 7 + 25 + 9 + 0 + 1 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 150245877355 + ... + 150245877845.

It is an arithmetic number, because the mean of its divisors is an integer number (69776893368).

Almost surely, 2^{73770725901600} is an apocalyptic number.

73770725901600 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 73770725901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180861707609856).

73770725901600 is an abundant number, since it is smaller than the sum of its proper divisors (287952689318112).

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

73770725901600 is a wasteful number, since it uses less digits than its factorization.

73770725901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 73770725901600 in words is "seventy-three trillion, seven hundred seventy billion, seven hundred twenty-five million, nine hundred one thousand, six hundred".