73841010778080 has 2304 divisors, whose sum is σ = 343249653196800. Its totient is φ = 14397220454400.

The previous prime is 73841010778069. The next prime is 73841010778091. The reversal of 73841010778080 is 8087701014837.

73841010778080 is a `hidden beast` number, since 7 + 3 + 8 + 410 + 1 + 0 + 77 + 80 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (73841010778069) and next prime (73841010778091).

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 383 ways as a sum of consecutive naturals, for example, 12555856740 + ... + 12555862620.

It is an arithmetic number, because the mean of its divisors is an integer number (148979884200).

Almost surely, 2^{73841010778080} is an apocalyptic number.

73841010778080 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 73841010778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171624826598400).

73841010778080 is an abundant number, since it is smaller than the sum of its proper divisors (269408642418720).

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

73841010778080 is a wasteful number, since it uses less digits than its factorization.

73841010778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 73841010778080 in words is "seventy-three trillion, eight hundred forty-one billion, ten million, seven hundred seventy-eight thousand, eighty".