73622989440 has 1152 divisors, whose sum is σ = 344390417280. Its totient is φ = 13996523520.

The previous prime is 73622989421. The next prime is 73622989457. The reversal of 73622989440 is 4498922637.

73622989440 is a `hidden beast` number, since 7 + 3 + 622 + 9 + 8 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 651530824 + ... + 651530936.

It is an arithmetic number, because the mean of its divisors is an integer number (298950015).

Almost surely, 2^73622989440 is an apocalyptic number.

73622989440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73622989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172195208640).

73622989440 is an abundant number, since it is smaller than the sum of its proper divisors (270767427840).

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

73622989440 is a wasteful number, since it uses less digits than its factorization.

73622989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 73622989440 in words is "seventy-three billion, six hundred twenty-two million, nine hundred eighty-nine thousand, four hundred forty".