20407495680 has 1056 divisors, whose sum is σ = 87982352640. Its totient is φ = 4299816960.

The previous prime is 20407495639. The next prime is 20407495681. The reversal of 20407495680 is 8659470402.

It is a happy number.

20407495680 is a `hidden beast` number, since 2 + 0 + 40 + 7 + 49 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (20407495681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125199279 + ... + 125199441.

Almost surely, 2^20407495680 is an apocalyptic number.

20407495680 is a gapful number since it is divisible by the number (20) 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 20407495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43991176320).

20407495680 is an abundant number, since it is smaller than the sum of its proper divisors (67574856960).

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

20407495680 is a wasteful number, since it uses less digits than its factorization.

20407495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20407495680 in words is "twenty billion, four hundred seven million, four hundred ninety-five thousand, six hundred eighty".