73766560000 has 405 divisors, whose sum is σ = 216267013809. Its totient is φ = 25030656000.

The previous prime is 73766559959. The next prime is 73766560003. The reversal of 73766560000 is 6566737.

The square root of 73766560000 is 271600.

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

It can be written as a sum of positive squares in 7 ways, for example, as 59778294016 + 13988265984 = 244496^2 + 118272^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (73766560003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 760479952 + ... + 760480048.

Almost surely, 2^73766560000 is an apocalyptic number.

73766560000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73766560000 is the 271600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73766560000

73766560000 is an abundant number, since it is smaller than the sum of its proper divisors (142500453809).

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

73766560000 is an frugal number, since it uses more digits than its factorization.

73766560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 73766560000 in words is "seventy-three billion, seven hundred sixty-six million, five hundred sixty thousand".