62676398400 has 1344 divisors, whose sum is σ = 273867042816. Its totient is φ = 12165120000.

The previous prime is 62676398357. The next prime is 62676398413. The reversal of 62676398400 is 489367626.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 620558350 + ... + 620558450.

Almost surely, 2^62676398400 is an apocalyptic number.

62676398400 is a gapful number since it is divisible by the number (60) 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 62676398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136933521408).

62676398400 is an abundant number, since it is smaller than the sum of its proper divisors (211190644416).

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

62676398400 is a wasteful number, since it uses less digits than its factorization.

62676398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 62676398400 in words is "sixty-two billion, six hundred seventy-six million, three hundred ninety-eight thousand, four hundred".