84540149760 has 416 divisors, whose sum is σ = 299650632192. Its totient is φ = 20177879040.

The previous prime is 84540149741. The next prime is 84540149803. The reversal of 84540149760 is 6794104548.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45280347 + ... + 45282213.

Almost surely, 2^84540149760 is an apocalyptic number.

84540149760 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 84540149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149825316096).

84540149760 is an abundant number, since it is smaller than the sum of its proper divisors (215110482432).

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

84540149760 is a wasteful number, since it uses less digits than its factorization.

84540149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 84540149760 in words is "eighty-four billion, five hundred forty million, one hundred forty-nine thousand, seven hundred sixty".