680153120400 has 240 divisors, whose sum is σ = 2448370544256. Its totient is φ = 160142991360.

The previous prime is 680153120399. The next prime is 680153120417. The reversal of 680153120400 is 4021351086.

680153120400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×680153120400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589017 + ... + 1306616.

Almost surely, 2^680153120400 is an apocalyptic number.

680153120400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680153120400 is an abundant number, since it is smaller than the sum of its proper divisors (1768217423856).

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

680153120400 is a wasteful number, since it uses less digits than its factorization.

680153120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895690 (or 1895679 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 680153120400 its reverse (4021351086), we get a palindrome (684174471486).

The spelling of 680153120400 in words is "six hundred eighty billion, one hundred fifty-three million, one hundred twenty thousand, four hundred".