84072377952 has 288 divisors, whose sum is σ = 257219988480. Its totient is φ = 26983964160.

The previous prime is 84072377951. The next prime is 84072377959. The reversal of 84072377952 is 25977327048.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84072377951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55201063 + ... + 55202585.

It is an arithmetic number, because the mean of its divisors is an integer number (893124960).

Almost surely, 2^84072377952 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 84072377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128609994240).

84072377952 is an abundant number, since it is smaller than the sum of its proper divisors (173147610528).

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

84072377952 is a wasteful number, since it uses less digits than its factorization.

84072377952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 84072377952 in words is "eighty-four billion, seventy-two million, three hundred seventy-seven thousand, nine hundred fifty-two".