649214139974400 has 8640 divisors, whose sum is σ = 3329757217898496. Its totient is φ = 120478482432000.

The previous prime is 649214139974377. The next prime is 649214139974431. The reversal of 649214139974400 is 4479931412946.

649214139974400 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 1 + 4 + 139 + 97 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2468494828669 + ... + 2468494828931.

Almost surely, 2^{649214139974400} is an apocalyptic number.

649214139974400 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 649214139974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664878608949248).

649214139974400 is an abundant number, since it is smaller than the sum of its proper divisors (2680543077924096).

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

649214139974400 is a wasteful number, since it uses less digits than its factorization.

649214139974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 649214139974400 in words is "six hundred forty-nine trillion, two hundred fourteen billion, one hundred thirty-nine million, nine hundred seventy-four thousand, four hundred".