20249792640 has 1536 divisors, whose sum is σ = 96235776000. Its totient is φ = 3941498880.

The previous prime is 20249792623. The next prime is 20249792657. The reversal of 20249792640 is 4629794202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20249792623) and next prime (20249792657).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227525716 + ... + 227525804.

It is an arithmetic number, because the mean of its divisors is an integer number (62653500).

Almost surely, 2^20249792640 is an apocalyptic number.

20249792640 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 20249792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888000).

20249792640 is an abundant number, since it is smaller than the sum of its proper divisors (75985983360).

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

20249792640 is a wasteful number, since it uses less digits than its factorization.

20249792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20249792640 in words is "twenty billion, two hundred forty-nine million, seven hundred ninety-two thousand, six hundred forty".