19750746240 has 512 divisors, whose sum is σ = 75398400000. Its totient is φ = 4870139904.

The previous prime is 19750746229. The next prime is 19750746269. The reversal of 19750746240 is 4264705791.

19750746240 is a `hidden beast` number, since 19 + 7 + 5 + 0 + 7 + 4 + 624 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 14117061 + ... + 14118459.

It is an arithmetic number, because the mean of its divisors is an integer number (147262500).

Almost surely, 2^19750746240 is an apocalyptic number.

19750746240 is a gapful number since it is divisible by the number (10) 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 19750746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200000).

19750746240 is an abundant number, since it is smaller than the sum of its proper divisors (55647653760).

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

19750746240 is a wasteful number, since it uses less digits than its factorization.

19750746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 19750746240 in words is "nineteen billion, seven hundred fifty million, seven hundred forty-six thousand, two hundred forty".