78492565045440 has 1344 divisors, whose sum is σ = 349222911408000. Its totient is φ = 16449748697088.

The previous prime is 78492565045387. The next prime is 78492565045459. The reversal of 78492565045440 is 4454056529487.

78492565045440 is a `hidden beast` number, since 7 + 8 + 4 + 9 + 25 + 65 + 0 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×78492565045440² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820000462 + ... + 820096178.

It is an arithmetic number, because the mean of its divisors is an integer number (259838475750).

Almost surely, 2^{78492565045440} is an apocalyptic number.

78492565045440 is a gapful number since it is divisible by the number (70) 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 78492565045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174611455704000).

78492565045440 is an abundant number, since it is smaller than the sum of its proper divisors (270730346362560).

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

78492565045440 is a wasteful number, since it uses less digits than its factorization.

78492565045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95919 (or 95896 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 78492565045440 in words is "seventy-eight trillion, four hundred ninety-two billion, five hundred sixty-five million, forty-five thousand, four hundred forty".