84386746080000 has 8640 divisors, whose sum is σ = 435779480328192. Its totient is φ = 15765995520000.

The previous prime is 84386746079971. The next prime is 84386746080041. The reversal of 84386746080000 is 8064768348.

84386746080000 is a `hidden beast` number, since 8 + 43 + 8 + 67 + 460 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a super-2 number, since 2×84386746080000² (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 an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1383389279970 + ... + 1383389280030.

Almost surely, 2^{84386746080000} is an apocalyptic number.

84386746080000 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 84386746080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217889740164096).

84386746080000 is an abundant number, since it is smaller than the sum of its proper divisors (351392734248192).

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

84386746080000 is a wasteful number, since it uses less digits than its factorization.

84386746080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 84386746080000 in words is "eighty-four trillion, three hundred eighty-six billion, seven hundred forty-six million, eighty thousand".