84945073722075 has 576 divisors, whose sum is σ = 194179324584960. Its totient is φ = 34602905272320.

The previous prime is 84945073722073. The next prime is 84945073722077. The reversal of 84945073722075 is 57022737054948.

It is a happy number.

84945073722075 is a `hidden beast` number, since 8 + 4 + 9 + 4 + 50 + 7 + 372 + 207 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (84945073722073) and next prime (84945073722077).

It is not a de Polignac number, because 84945073722075 - 2¹ = 84945073722073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (84945073722073) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11809404679 + ... + 11809411871.

It is an arithmetic number, because the mean of its divisors is an integer number (337116882960).

Almost surely, 2^{84945073722075} is an apocalyptic number.

84945073722075 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

84945073722075 is an abundant number, since it is smaller than the sum of its proper divisors (109234250862885).

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

84945073722075 is a wasteful number, since it uses less digits than its factorization.

84945073722075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 84945073722075 in words is "eighty-four trillion, nine hundred forty-five billion, seventy-three million, seven hundred twenty-two thousand, seventy-five".