84546504000 has 1568 divisors, whose sum is σ = 381119481600. Its totient is φ = 18139852800.

The previous prime is 84546503983. The next prime is 84546504023. The reversal of 84546504000 is 40564548.

It is a super-2 number, since 2×84546504000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 775655946 + ... + 775656054.

Almost surely, 2^84546504000 is an apocalyptic number.

84546504000 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 84546504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190559740800).

84546504000 is an abundant number, since it is smaller than the sum of its proper divisors (296572977600).

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

84546504000 is a wasteful number, since it uses less digits than its factorization.

84546504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 84546504000 in words is "eighty-four billion, five hundred forty-six million, five hundred four thousand".