78264426240 has 1296 divisors, whose sum is σ = 366921906624. Its totient is φ = 14987427840.

The previous prime is 78264426239. The next prime is 78264426281. The reversal of 78264426240 is 4262446287.

It is a super-2 number, since 2×78264426240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126846412 + ... + 126847028.

Almost surely, 2^78264426240 is an apocalyptic number.

78264426240 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 78264426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183460953312).

78264426240 is an abundant number, since it is smaller than the sum of its proper divisors (288657480384).

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

78264426240 is a wasteful number, since it uses less digits than its factorization.

78264426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 78264426240 in words is "seventy-eight billion, two hundred sixty-four million, four hundred twenty-six thousand, two hundred forty".