73538687040 has 896 divisors, whose sum is σ = 307115504640. Its totient is φ = 14553317376.

The previous prime is 73538687039. The next prime is 73538687069. The reversal of 73538687040 is 4078683537.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250985134 + ... + 250985426.

It is an arithmetic number, because the mean of its divisors is an integer number (342762840).

Almost surely, 2^73538687040 is an apocalyptic number.

73538687040 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 73538687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153557752320).

73538687040 is an abundant number, since it is smaller than the sum of its proper divisors (233576817600).

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

73538687040 is a wasteful number, since it uses less digits than its factorization.

73538687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 73538687040 in words is "seventy-three billion, five hundred thirty-eight million, six hundred eighty-seven thousand, forty".