73977927840 has 288 divisors, whose sum is σ = 255741267600. Its totient is φ = 19472007168.

The previous prime is 73977927817. The next prime is 73977927847. The reversal of 73977927840 is 4872977937.

It can be written as a sum of positive squares in 8 ways, for example, as 42269715216 + 31708212624 = 205596^2 + 178068^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (73977927847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37117884 + ... + 37119876.

Almost surely, 2^73977927840 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 73977927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127870633800).

73977927840 is an abundant number, since it is smaller than the sum of its proper divisors (181763339760).

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

73977927840 is a wasteful number, since it uses less digits than its factorization.

73977927840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 73977927840 in words is "seventy-three billion, nine hundred seventy-seven million, nine hundred twenty-seven thousand, eight hundred forty".