73801019925504 has 693 divisors, whose sum is σ = 226267430121369. Its totient is φ = 24048607518720.

The previous prime is 73801019925491. The next prime is 73801019925541. The reversal of 73801019925504 is 40552991010837.

It is a happy number.

The square root of 73801019925504 is 8590752.

It is a perfect power (a square), and thus also a powerful number.

73801019925504 is a `hidden beast` number, since 7 + 3 + 8 + 0 + 101 + 9 + 9 + 25 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2399871919104 + 71401148006400 = 1549152^2 + 8449920^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 452766993327 + ... + 452766993489.

Almost surely, 2^{73801019925504} is an apocalyptic number.

73801019925504 is the 8590752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73801019925504

73801019925504 is an abundant number, since it is smaller than the sum of its proper divisors (152466410195865).

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

73801019925504 is an frugal number, since it uses more digits than its factorization.

73801019925504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 73801019925504 in words is "seventy-three trillion, eight hundred one billion, nineteen million, nine hundred twenty-five thousand, five hundred four".