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640212293760 = 2735132371113139
BaseRepresentation
bin10010101000011111010…
…00000101100010000000
32021012111111101020021120
421110033220011202000
540442123321400020
61210035351152240
764153025465034
oct11241750054200
92235444336246
10640212293760
11227570171026
12a40b1975680
13484aa9ac980
1422db4b141c4
15119c02db740
hex950fa05880

640212293760 has 1024 divisors, whose sum is σ = 2362958438400. Its totient is φ = 146240962560.

The previous prime is 640212293719. The next prime is 640212293767. The reversal of 640212293760 is 67392212046.

It is not an unprimeable number, because it can be changed into a prime (640212293767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4605843771 + ... + 4605843909.

It is an arithmetic number, because the mean of its divisors is an integer number (2307576600).

Almost surely, 2640212293760 is an apocalyptic number.

640212293760 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 640212293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181479219200).

640212293760 is an abundant number, since it is smaller than the sum of its proper divisors (1722746144640).

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

640212293760 is a wasteful number, since it uses less digits than its factorization.

640212293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 640212293760 in words is "six hundred forty billion, two hundred twelve million, two hundred ninety-three thousand, seven hundred sixty".