78498564480 has 576 divisors, whose sum is σ = 327031220880. Its totient is φ = 17940787200.

The previous prime is 78498564413. The next prime is 78498564499. The reversal of 78498564480 is 8446589487.

78498564480 is a `hidden beast` number, since 7 + 8 + 4 + 98 + 5 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×78498564480³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7615330 + ... + 7625630.

Almost surely, 2^78498564480 is an apocalyptic number.

78498564480 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 78498564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163515610440).

78498564480 is an abundant number, since it is smaller than the sum of its proper divisors (248532656400).

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

78498564480 is a wasteful number, since it uses less digits than its factorization.

78498564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 78498564480 in words is "seventy-eight billion, four hundred ninety-eight million, five hundred sixty-four thousand, four hundred eighty".