78462733284576 has 192 divisors, whose sum is σ = 229090211159040. Its totient is φ = 26126765982720.

The previous prime is 78462733284469. The next prime is 78462733284599. The reversal of 78462733284576 is 67548233726487.

78462733284576 is a `hidden beast` number, since 7 + 8 + 4 + 6 + 27 + 3 + 3 + 28 + 4 + 576 = 666.

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

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, 3409780911 + ... + 3409803921.

It is an arithmetic number, because the mean of its divisors is an integer number (1193178183120).

Almost surely, 2^{78462733284576} 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 78462733284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114545105579520).

78462733284576 is an abundant number, since it is smaller than the sum of its proper divisors (150627477874464).

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

78462733284576 is a wasteful number, since it uses less digits than its factorization.

78462733284576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27006 (or 26992 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 72.

The spelling of 78462733284576 in words is "seventy-eight trillion, four hundred sixty-two billion, seven hundred thirty-three million, two hundred eighty-four thousand, five hundred seventy-six".