84877576349040 has 480 divisors, whose sum is σ = 307228754386944. Its totient is φ = 20938354145280.

The previous prime is 84877576349023. The next prime is 84877576349077. The reversal of 84877576349040 is 4094367577848.

84877576349040 is a `hidden beast` number, since 8 + 4 + 8 + 7 + 7 + 576 + 3 + 4 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×84877576349040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 84877576349040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827998429 + ... + 828100931.

Almost surely, 2^{84877576349040} is an apocalyptic number.

84877576349040 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 84877576349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153614377193472).

84877576349040 is an abundant number, since it is smaller than the sum of its proper divisors (222351178037904).

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

84877576349040 is a wasteful number, since it uses less digits than its factorization.

84877576349040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104189 (or 104180 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 84877576349040 in words is "eighty-four trillion, eight hundred seventy-seven billion, five hundred seventy-six million, three hundred forty-nine thousand, forty".