1904720732640 has 384 divisors, whose sum is σ = 7469132912640. Its totient is φ = 449270323200.

The previous prime is 1904720732639. The next prime is 1904720732641. The reversal of 1904720732640 is 462370274091.

1904720732640 is a `hidden beast` number, since 1 + 90 + 472 + 0 + 7 + 32 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1904720732639) and next prime (1904720732641).

It is a super-2 number, since 2×1904720732640² (a number of 25 digits) contains 22 as substring.

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 (1904720732641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216585 + ... + 2299895.

It is an arithmetic number, because the mean of its divisors is an integer number (19450866960).

Almost surely, 2^{1904720732640} is an apocalyptic number.

1904720732640 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 1904720732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734566456320).

1904720732640 is an abundant number, since it is smaller than the sum of its proper divisors (5564412180000).

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

1904720732640 is a wasteful number, since it uses less digits than its factorization.

1904720732640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083383 (or 1083369 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1904720732640 in words is "one trillion, nine hundred four billion, seven hundred twenty million, seven hundred thirty-two thousand, six hundred forty".