649072370400 has 288 divisors, whose sum is σ = 2182360320000. Its totient is φ = 167389132800.

The previous prime is 649072370383. The next prime is 649072370411. The reversal of 649072370400 is 4073270946.

It is a congruent number.

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, 216428101 + ... + 216431099.

It is an arithmetic number, because the mean of its divisors is an integer number (7577640000).

Almost surely, 2^649072370400 is an apocalyptic number.

649072370400 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 649072370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091180160000).

649072370400 is an abundant number, since it is smaller than the sum of its proper divisors (1533287949600).

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

649072370400 is a wasteful number, since it uses less digits than its factorization.

649072370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 649072370400 in words is "six hundred forty-nine billion, seventy-two million, three hundred seventy thousand, four hundred".