406762078320 has 320 divisors, whose sum is σ = 1509744620160. Its totient is φ = 100066295808.

The previous prime is 406762078313. The next prime is 406762078321. The reversal of 406762078320 is 23870267604.

406762078320 is a `hidden beast` number, since 406 + 7 + 6 + 207 + 8 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406762078321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63822654 + ... + 63829026.

It is an arithmetic number, because the mean of its divisors is an integer number (4717951938).

Almost surely, 2^406762078320 is an apocalyptic number.

406762078320 is a gapful number since it is divisible by the number (40) 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 406762078320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754872310080).

406762078320 is an abundant number, since it is smaller than the sum of its proper divisors (1102982541840).

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

406762078320 is a wasteful number, since it uses less digits than its factorization.

406762078320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8681 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 406762078320 in words is "four hundred six billion, seven hundred sixty-two million, seventy-eight thousand, three hundred twenty".