73373610240 has 1440 divisors, whose sum is σ = 335490059520. Its totient is φ = 14906032128.

The previous prime is 73373610229. The next prime is 73373610263. The reversal of 73373610240 is 4201637337.

73373610240 is a `hidden beast` number, since 7 + 3 + 37 + 3 + 610 + 2 + 4 + 0 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 73373610195 and 73373610204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 234420324 + ... + 234420636.

It is an arithmetic number, because the mean of its divisors is an integer number (232979208).

Almost surely, 2^73373610240 is an apocalyptic number.

73373610240 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 73373610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167745029760).

73373610240 is an abundant number, since it is smaller than the sum of its proper divisors (262116449280).

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

73373610240 is a wasteful number, since it uses less digits than its factorization.

73373610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 73373610240 in words is "seventy-three billion, three hundred seventy-three million, six hundred ten thousand, two hundred forty".