73778155102080 has 2048 divisors, whose sum is σ = 314646571008000. Its totient is φ = 16101907660800.

The previous prime is 73778155102037. The next prime is 73778155102103. The reversal of 73778155102080 is 8020155187737.

73778155102080 is a `hidden beast` number, since 7 + 3 + 7 + 7 + 8 + 1 + 551 + 0 + 2 + 0 + 80 = 666.

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 255 ways as a sum of consecutive naturals, for example, 19098666229 + ... + 19098670091.

It is an arithmetic number, because the mean of its divisors is an integer number (153636021000).

Almost surely, 2^{73778155102080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73778155102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157323285504000).

73778155102080 is an abundant number, since it is smaller than the sum of its proper divisors (240868415905920).

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

73778155102080 is a wasteful number, since it uses less digits than its factorization.

73778155102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 73778155102080 in words is "seventy-three trillion, seven hundred seventy-eight billion, one hundred fifty-five million, one hundred two thousand, eighty".