73276669440 has 1440 divisors, whose sum is σ = 309101528736. Its totient is φ = 16562257920.

The previous prime is 73276669421. The next prime is 73276669441. The reversal of 73276669440 is 4496667237.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73276669441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1787235820 + ... + 1787235860.

Almost surely, 2^73276669440 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 73276669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154550764368).

73276669440 is an abundant number, since it is smaller than the sum of its proper divisors (235824859296).

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

73276669440 is a wasteful number, since it uses less digits than its factorization.

73276669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 73276669440 in words is "seventy-three billion, two hundred seventy-six million, six hundred sixty-nine thousand, four hundred forty".