153649697040 has 1440 divisors, whose sum is σ = 674768240640. Its totient is φ = 31744742400.

The previous prime is 153649697023. The next prime is 153649697051. The reversal of 153649697040 is 40796946351.

153649697040 is a `hidden beast` number, since 1 + 536 + 4 + 9 + 69 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2164080205 + ... + 2164080275.

It is an arithmetic number, because the mean of its divisors is an integer number (468589056).

Almost surely, 2^153649697040 is an apocalyptic number.

153649697040 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 153649697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337384120320).

153649697040 is an abundant number, since it is smaller than the sum of its proper divisors (521118543600).

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

153649697040 is an equidigital number, since it uses as much as digits as its factorization.

153649697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 153649697040 in words is "one hundred fifty-three billion, six hundred forty-nine million, six hundred ninety-seven thousand, forty".