672399777776400 has 840 divisors, whose sum is σ = 2530699667283456. Its totient is φ = 171283992422400.

The previous prime is 672399777776399. The next prime is 672399777776473. The reversal of 672399777776400 is 4677777993276.

672399777776400 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 9 + 9 + 77 + 77 + 76 + 400 = 666.

It is a super-2 number, since 2×672399777776400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 672399777776400.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5103808929 + ... + 5103940671.

Almost surely, 2^{672399777776400} is an apocalyptic number.

672399777776400 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 672399777776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265349833641728).

672399777776400 is an abundant number, since it is smaller than the sum of its proper divisors (1858299889507056).

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

672399777776400 is a wasteful number, since it uses less digits than its factorization.

672399777776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132563 (or 132537 counting only the distinct ones).

The product of its (nonzero) digits is 8233547616, while the sum is 81.

The spelling of 672399777776400 in words is "six hundred seventy-two trillion, three hundred ninety-nine billion, seven hundred seventy-seven million, seven hundred seventy-six thousand, four hundred".