306220400640 has 2048 divisors, whose sum is σ = 1449529344000. Its totient is φ = 59454259200.

The previous prime is 306220400627. The next prime is 306220400641. The reversal of 306220400640 is 46004022603.

306220400640 is a `hidden beast` number, since 30 + 6 + 220 + 400 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×306220400640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (306220400641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9878077425 + ... + 9878077455.

It is an arithmetic number, because the mean of its divisors is an integer number (707778000).

Almost surely, 2^306220400640 is an apocalyptic number.

306220400640 is a gapful number since it is divisible by the number (30) 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 306220400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724764672000).

306220400640 is an abundant number, since it is smaller than the sum of its proper divisors (1143308943360).

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

306220400640 is a wasteful number, since it uses less digits than its factorization.

306220400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 306220400640 in words is "three hundred six billion, two hundred twenty million, four hundred thousand, six hundred forty".