73987876085760 has 3136 divisors, whose sum is σ = 333032170762368. Its totient is φ = 15355506327552.

The previous prime is 73987876085729. The next prime is 73987876085779. The reversal of 73987876085760 is 6758067878937.

73987876085760 is a `hidden beast` number, since 7 + 39 + 8 + 7 + 8 + 7 + 6 + 0 + 8 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 73987876085760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 198358916934 + ... + 198358917306.

Almost surely, 2^{73987876085760} is an apocalyptic number.

73987876085760 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 73987876085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166516085381184).

73987876085760 is an abundant number, since it is smaller than the sum of its proper divisors (259044294676608).

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

73987876085760 is an equidigital number, since it uses as much as digits as its factorization.

73987876085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 5974456320, while the sum is 81.

The spelling of 73987876085760 in words is "seventy-three trillion, nine hundred eighty-seven billion, eight hundred seventy-six million, eighty-five thousand, seven hundred sixty".