84404154574080 has 1620 divisors, whose sum is σ = 343068241738068. Its totient is φ = 19798732800000.

The previous prime is 84404154574067. The next prime is 84404154574093. The reversal of 84404154574080 is 8047545140448.

84404154574080 is a `hidden beast` number, since 8 + 4 + 40 + 415 + 45 + 74 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (84404154574067) and next prime (84404154574093).

It can be written as a sum of positive squares in 2 ways, for example, as 33006955348224 + 51397199225856 = 5745168^2 + 7169184^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×84404154574080² (a number of 29 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 12056010580 + ... + 12056017580.

Almost surely, 2^{84404154574080} is an apocalyptic number.

84404154574080 is a gapful number since it is divisible by the number (80) 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 84404154574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171534120869034).

84404154574080 is an abundant number, since it is smaller than the sum of its proper divisors (258664087163988).

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

84404154574080 is a wasteful number, since it uses less digits than its factorization.

84404154574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 54.

The spelling of 84404154574080 in words is "eighty-four trillion, four hundred four billion, one hundred fifty-four million, five hundred seventy-four thousand, eighty".