73766740000 has 360 divisors, whose sum is σ = 203135372748. Its totient is φ = 26265600000.

The previous prime is 73766739947. The next prime is 73766740031. The reversal of 73766740000 is 4766737.

It can be written as a sum of positive squares in 10 ways, for example, as 193432464 + 73573307536 = 13908^2 + 271244^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 122739700 + ... + 122740300.

Almost surely, 2^73766740000 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 73766740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101567686374).

73766740000 is an abundant number, since it is smaller than the sum of its proper divisors (129368632748).

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

73766740000 is a wasteful number, since it uses less digits than its factorization.

73766740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The spelling of 73766740000 in words is "seventy-three billion, seven hundred sixty-six million, seven hundred forty thousand".