73899786240 has 1200 divisors, whose sum is σ = 318199550592. Its totient is φ = 16052649984.

The previous prime is 73899786229. The next prime is 73899786269. The reversal of 73899786240 is 4268799837.

73899786240 is a `hidden beast` number, since 7 + 389 + 9 + 7 + 8 + 6 + 240 = 666.

It is a super-2 number, since 2×73899786240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1718599659 + ... + 1718599701.

Almost surely, 2^73899786240 is an apocalyptic number.

73899786240 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 73899786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159099775296).

73899786240 is an abundant number, since it is smaller than the sum of its proper divisors (244299764352).

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

73899786240 is an equidigital number, since it uses as much as digits as its factorization.

73899786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 73899786240 in words is "seventy-three billion, eight hundred ninety-nine million, seven hundred eighty-six thousand, two hundred forty".