153815672640 has 672 divisors, whose sum is σ = 580208745600. Its totient is φ = 34418442240.

The previous prime is 153815672639. The next prime is 153815672653. The reversal of 153815672640 is 46276518351.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×153815672640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 153815672640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671684046 + ... + 671684274.

Almost surely, 2^153815672640 is an apocalyptic number.

153815672640 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 153815672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290104372800).

153815672640 is an abundant number, since it is smaller than the sum of its proper divisors (426393072960).

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

153815672640 is a wasteful number, since it uses less digits than its factorization.

153815672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 153815672640 in words is "one hundred fifty-three billion, eight hundred fifteen million, six hundred seventy-two thousand, six hundred forty".