78213695472 has 320 divisors, whose sum is σ = 272971814400. Its totient is φ = 21132472320.

The previous prime is 78213695467. The next prime is 78213695533. The reversal of 78213695472 is 27459631287.

It is a happy number.

78213695472 is a `hidden beast` number, since 7 + 82 + 1 + 3 + 6 + 95 + 472 = 666.

It is a super-2 number, since 2×78213695472² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1509418 + ... + 1560374.

It is an arithmetic number, because the mean of its divisors is an integer number (853036920).

Almost surely, 2^78213695472 is an apocalyptic number.

78213695472 is a gapful number since it is divisible by the number (72) 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 78213695472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136485907200).

78213695472 is an abundant number, since it is smaller than the sum of its proper divisors (194758118928).

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

78213695472 is a wasteful number, since it uses less digits than its factorization.

78213695472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51021 (or 51009 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 78213695472 in words is "seventy-eight billion, two hundred thirteen million, six hundred ninety-five thousand, four hundred seventy-two".