73975650840 has 960 divisors, whose sum is σ = 316393529760. Its totient is φ = 15362887680.

The previous prime is 73975650817. The next prime is 73975650863. The reversal of 73975650840 is 4805657937.

73975650840 is a `hidden beast` number, since 7 + 3 + 97 + 5 + 6 + 508 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (73975650817) and next prime (73975650863).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 150662995 + ... + 150663485.

Almost surely, 2^73975650840 is an apocalyptic number.

73975650840 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 73975650840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158196764880).

73975650840 is an abundant number, since it is smaller than the sum of its proper divisors (242417878920).

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

73975650840 is a wasteful number, since it uses less digits than its factorization.

73975650840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 73975650840 in words is "seventy-three billion, nine hundred seventy-five million, six hundred fifty thousand, eight hundred forty".