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6399740067840 = 214313572
BaseRepresentation
bin101110100100000111000…
…1110111100000000000000
3211122210211220000000000000
41131020032032330000000
51314323131424132330
621340000000000000
71230236345012400
oct135101616740000
924583756000000
106399740067840
112048129477989
12874390000000
13375653b8ba12
14181a6b64c800
15b1712b39560
hex5d20e3bc000

6399740067840 has 1260 divisors, whose sum is σ = 26799720629976. Its totient is φ = 1462797729792.

The previous prime is 6399740067793. The next prime is 6399740067863. The reversal of 6399740067840 is 487600479936.

6399740067840 is a `hidden beast` number, since 6 + 3 + 9 + 97 + 400 + 67 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 914248581117 + ... + 914248581123.

Almost surely, 26399740067840 is an apocalyptic number.

6399740067840 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 6399740067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13399860314988).

6399740067840 is an abundant number, since it is smaller than the sum of its proper divisors (20399980562136).

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

6399740067840 is an frugal number, since it uses more digits than its factorization.

6399740067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 6399740067840 in words is "six trillion, three hundred ninety-nine billion, seven hundred forty million, sixty-seven thousand, eight hundred forty".